Pith Number

pith:L2MKULK7

pith:2014:L2MKULK76GLGZNO2OGFKSOHW75

not attested not anchored not stored refs pending

Two-loop evolution equations for light-ray operators

A.N. Manashov, V.M. Braun

arxiv:1404.0863 v1 · 2014-04-03 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2MKULK76GLGZNO2OGFKSOHW75}

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	2026-05-18T01:43:42.661084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e98aa2d5ff1966cb5da718aa938f6ff68de53f027810251b58562aa3a922850

Aliases

arxiv: 1404.0863 · arxiv_version: 1404.0863v1 · doi: 10.48550/arxiv.1404.0863 · pith_short_12: L2MKULK76GLG · pith_short_16: L2MKULK76GLGZNO2 · pith_short_8: L2MKULK7

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/L2MKULK76GLGZNO2OGFKSOHW75 \
  | 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: 5e98aa2d5ff1966cb5da718aa938f6ff68de53f027810251b58562aa3a922850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08769e2bd642c8454e1892e76fef4ca5c6a4d7be373b989e4af23a48a9115b70",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-04-03T11:25:48Z",
    "title_canon_sha256": "3195424dad0fe28527e3f46e8acc294dd67804abb2da0b6205bba8d417aff205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0863",
    "kind": "arxiv",
    "version": 1
  }
}