Pith Number

pith:7JER7ENK

pith:2011:7JER7ENKAW3Q6YTAY6CYP7FOBN

not attested not anchored not stored refs pending

Numerical calculation of one-loop integration with hypergeometric functions

Toshiaki KANEKO

arxiv:1105.2080 v1 · 2011-05-11 · 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{7JER7ENKAW3Q6YTAY6CYP7FOBN}

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	2026-05-18T04:22:21.558351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa491f91aa05b70f6260c78587fcae0b6505e450e92c3ee8347e9e429bc2a4a5

Aliases

arxiv: 1105.2080 · arxiv_version: 1105.2080v1 · doi: 10.48550/arxiv.1105.2080 · pith_short_12: 7JER7ENKAW3Q · pith_short_16: 7JER7ENKAW3Q6YTA · pith_short_8: 7JER7ENK

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/7JER7ENKAW3Q6YTAY6CYP7FOBN \
  | 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: fa491f91aa05b70f6260c78587fcae0b6505e450e92c3ee8347e9e429bc2a4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5813e878d8763881d39dde17eef593e7bb847c00a6e9457ecd50011975a8ca63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-05-11T00:25:13Z",
    "title_canon_sha256": "29763874ccce93841957bb0e92ba560617d6c77248ac47544b4b210c9267f822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2080",
    "kind": "arxiv",
    "version": 1
  }
}