Pith Number

pith:P2OXZRQM

pith:1997:P2OXZRQMVA3FAEUJYA3XXIUGDF

not attested not anchored not stored refs pending

Four loop anomalous dimensions of gradient operators in phi^4 theory

A. N. Manashov, J. A. Gracey, S. E. Derkachov

arxiv:hep-ph/9705268 v1 · 1997-05-08 · 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{P2OXZRQMVA3FAEUJYA3XXIUGDF}

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

Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector

Receipt and verification

First computed	2026-07-04T15:21:34.921271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9d7cc60ca836501289c0377ba286197541427fe130bc2b85a92f1622ec3b8f

Aliases

arxiv: hep-ph/9705268 · arxiv_version: hep-ph/9705268v1 · doi: 10.48550/arxiv.hep-ph/9705268 · pith_short_12: P2OXZRQMVA3F · pith_short_16: P2OXZRQMVA3FAEUJ · pith_short_8: P2OXZRQM

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/P2OXZRQMVA3FAEUJYA3XXIUGDF \
  | 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: 7e9d7cc60ca836501289c0377ba286197541427fe130bc2b85a92f1622ec3b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f00ac63b7afcc1e28e44b22aa45bf12c568f478dff978f16ab60607e477748",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-05-08T15:49:30Z",
    "title_canon_sha256": "99fc0a5aa5c69178553d0363d43df0325aff2a14e68eb3c4ac66dba10f96f681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9705268",
    "kind": "arxiv",
    "version": 1
  }
}