Pith Number

pith:H5N5K4YL

pith:2026:H5N5K4YLEGPXELQTOH5JENJ2C2

not attested not anchored not stored refs pending

QCD sum rules: Borel parameter vs. Euclidean time

A.V. Smilga

Euclidean-time sum rules for the nucleon yield rough mass and residue estimates but lack any usable fiducial window because power corrections and continuum contributions introduce larger uncertainties than in Borel sum rules.

arxiv:2605.04001 v2 · 2026-05-05 · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5N5K4YLEGPXELQTOH5JENJ2C2}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

A rough estimate of nucleon mass and residue is possible in coordinate space, but such sum rules are much more affected by uncertainties in power corrections and continuum contribution than the Borel ones: the fiducial interval is practically absent.

C2weakest assumption

That the size of the uncertainties assigned to the power corrections and continuum threshold in the Euclidean-time analysis is realistic and not underestimated relative to the Borel case.

C3one line summary

Receipt and verification

First computed	2026-06-19T16:10:38.327235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5bd5730b219f722e1371fa92353a168e92427ac0e750838364a071bc431041

Aliases

arxiv: 2605.04001 · arxiv_version: 2605.04001v2 · doi: 10.48550/arxiv.2605.04001 · pith_short_12: H5N5K4YLEGPX · pith_short_16: H5N5K4YLEGPXELQT · pith_short_8: H5N5K4YL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5N5K4YLEGPXELQTOH5JENJ2C2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3f5bd5730b219f722e1371fa92353a168e92427ac0e750838364a071bc431041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5b436af9b5dafd55e44581ed2c84f27cdffca6d5b55be62f856fb4cd7fe2bb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-05T17:21:49Z",
    "title_canon_sha256": "29f259f030cda1ee5e60ae7906f2226c888a1114fe18da3b3053c25606b152db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.04001",
    "kind": "arxiv",
    "version": 2
  }
}