Pith Number

pith:MAHL3MLR

pith:2026:MAHL3MLREBKA4VSUQWDP5GEZRL

not attested not anchored not stored refs pending

PDF at small $x$ in the non-perturbative region

M. L. Nekrasov

arxiv:2601.12489 v3 · 2026-01-18 · 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{MAHL3MLREBKA4VSUQWDP5GEZRL}

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.

Receipt and verification

First computed	2026-07-22T01:23:34.773541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600ebdb17120540e56548586fe98998ad46a712ed16172a8a502e1f9a6fa4f63

Aliases

arxiv: 2601.12489 · arxiv_version: 2601.12489v3 · doi: 10.48550/arxiv.2601.12489 · pith_short_12: MAHL3MLREBKA · pith_short_16: MAHL3MLREBKA4VSU · pith_short_8: MAHL3MLR

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/MAHL3MLREBKA4VSUQWDP5GEZRL \
  | 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: 600ebdb17120540e56548586fe98998ad46a712ed16172a8a502e1f9a6fa4f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2109e96743fac0142f8d2e5b791b6369aee7c8742d9670ed1336be707768d99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-01-18T17:01:58Z",
    "title_canon_sha256": "542955f9795895307cb5fc12033b5686bbf52e0b6813bf77c855bc50e711933e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12489",
    "kind": "arxiv",
    "version": 3
  }
}