Pith Number

pith:5PBNJDJB

pith:2018:5PBNJDJBPVWOX4OU423PNIUVMX

not attested not anchored not stored refs pending

Determine Arbitrary Feynman Integrals by Vacuum Integrals

Xiao Liu, Yan-Qing Ma

arxiv:1801.10523 v3 · 2018-01-31 · hep-ph · hep-th · nucl-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{5PBNJDJBPVWOX4OU423PNIUVMX}

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

Integral Reduction with Kira 2.0 and Finite Field Methods

Receipt and verification

First computed	2026-05-17T23:48:34.392343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc2d48d217d6cebf1d4e6b6f6a29565e0a4f6f0241febe9bb6e669b5537bba3

Aliases

arxiv: 1801.10523 · arxiv_version: 1801.10523v3 · doi: 10.48550/arxiv.1801.10523 · pith_short_12: 5PBNJDJBPVWO · pith_short_16: 5PBNJDJBPVWOX4OU · pith_short_8: 5PBNJDJB

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/5PBNJDJBPVWOX4OU423PNIUVMX \
  | 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: ebc2d48d217d6cebf1d4e6b6f6a29565e0a4f6f0241febe9bb6e669b5537bba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa67bbd22c2769cbc432287bd212812f40b8fcc2452e046f2659ca499662949",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-01-31T16:15:13Z",
    "title_canon_sha256": "559ef127bb35a67467bb69906dd4f6cebeaec75ce44a1dbcae9c4a5f77212502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10523",
    "kind": "arxiv",
    "version": 3
  }
}