Pith Number

pith:5A7AVGRX

pith:1992:5A7AVGRXV3I2LEWW3DT4VH764X

not attested not anchored not stored refs pending

The 3-graviton vertex function in thermal quantum gravity

F. T. Brandt, J. Frenkel

arxiv:hep-ph/9209265 v1 · 1992-09-22 · 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{5A7AVGRXV3I2LEWW3DT4VH764X}

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

Perturbiner methods in scattering amplitude

Receipt and verification

First computed	2026-07-04T15:54:57.548846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83e0a9a37aed1a592d6d8e7ca9ffee5ef4411ef555febfeb2122582e4979139

Aliases

arxiv: hep-ph/9209265 · arxiv_version: hep-ph/9209265v1 · doi: 10.48550/arxiv.hep-ph/9209265 · pith_short_12: 5A7AVGRXV3I2 · pith_short_16: 5A7AVGRXV3I2LEWW · pith_short_8: 5A7AVGRX

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/5A7AVGRXV3I2LEWW3DT4VH764X \
  | 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: e83e0a9a37aed1a592d6d8e7ca9ffee5ef4411ef555febfeb2122582e4979139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a151ae146cfd4dc791cdb68f63abe4fe93e22d937e76b777c0ae2b4977f68b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1992-09-22T18:00:00Z",
    "title_canon_sha256": "ce5abc62c958e413451e636a6f9aa154a5026be2c5883dbf7cdaf6c8e146cc86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9209265",
    "kind": "arxiv",
    "version": 1
  }
}