Pith Number

pith:MIJAKA7B

pith:2004:MIJAKA7B7H6XD6EO2XCWQZWD6N

not attested not anchored not stored refs pending

Renormalon approach to higher-twist distribution amplitudes and the convergence of the conformal expansion

Einan Gardi, Stefan Gottwald, Vladimir M. Braun

arxiv:hep-ph/0401158 v1 · 2004-01-21 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIJAKA7B7H6XD6EO2XCWQZWD6N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Cited by

1 paper in Pith

Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model

Receipt and verification

First computed	2026-07-04T17:24:37.530053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62120503e1f9fd71f88ed5c56866c3f37c69ed4a0e31021c4212b26380cf2aea

Aliases

arxiv: hep-ph/0401158 · arxiv_version: hep-ph/0401158v1 · doi: 10.48550/arxiv.hep-ph/0401158 · pith_short_12: MIJAKA7B7H6X · pith_short_16: MIJAKA7B7H6XD6EO · pith_short_8: MIJAKA7B

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/MIJAKA7B7H6XD6EO2XCWQZWD6N \
  | 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: 62120503e1f9fd71f88ed5c56866c3f37c69ed4a0e31021c4212b26380cf2aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc37654e078a35dba7cd28b9c56e33f4d22e5931cd87b4762e034643f8cff71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-01-21T16:38:39Z",
    "title_canon_sha256": "f3d5d7f40b0fc8340e9d89822932708fea2d313af44db365fcc0609948506250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0401158",
    "kind": "arxiv",
    "version": 1
  }
}