Pith Number

pith:YQHY5BWK

pith:2014:YQHY5BWKE2MNA36HRP4HJ65LDK

not attested not anchored not stored refs pending

Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory

Christian Marboe, Dmytro Volin, Vitaly Velizhanin

arxiv:1412.4762 v2 · 2014-12-15 · hep-th · 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{YQHY5BWKE2MNA36HRP4HJ65LDK}

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

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

Receipt and verification

First computed	2026-05-18T01:55:52.851537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40f8e86ca2698d06fc78bf874fbab1aa6232f534e9b45abece859b17c490f8f

Aliases

arxiv: 1412.4762 · arxiv_version: 1412.4762v2 · doi: 10.48550/arxiv.1412.4762 · pith_short_12: YQHY5BWKE2MN · pith_short_16: YQHY5BWKE2MNA36H · pith_short_8: YQHY5BWK

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/YQHY5BWKE2MNA36HRP4HJ65LDK \
  | 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: c40f8e86ca2698d06fc78bf874fbab1aa6232f534e9b45abece859b17c490f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e6ddba284671947b37241a943d068c34968a90f75f26f355e2a7a4835ece82",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-15T20:55:10Z",
    "title_canon_sha256": "508a658bc60d43c3b84673f7437f83a38e10ba9b78126021efeafad5f12a0488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4762",
    "kind": "arxiv",
    "version": 2
  }
}