Pith Number

pith:TVRL3HKL

pith:2019:TVRL3HKLG4G5XBOZI4RNE6NAQM

not attested not anchored not stored refs pending

On Complex Gamma-Function Integrals

Alexander N. Manashov, Sergey E. Derkachov

arxiv:1908.01530 v2 · 2019-08-05 · math-ph · hep-th · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVRL3HKLG4G5XBOZI4RNE6NAQM}

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	2026-07-05T00:34:16.834943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d62bd9d4b370ddb85d94722d279a08316c2db3b172fe46000276fca6ac9b477

Aliases

arxiv: 1908.01530 · arxiv_version: 1908.01530v2 · doi: 10.48550/arxiv.1908.01530 · pith_short_12: TVRL3HKLG4G5 · pith_short_16: TVRL3HKLG4G5XBOZ · pith_short_8: TVRL3HKL

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/TVRL3HKLG4G5XBOZI4RNE6NAQM \
  | 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: 9d62bd9d4b370ddb85d94722d279a08316c2db3b172fe46000276fca6ac9b477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6eaf849da0468098a0fb1239798f19565bf7d724fb0126b8295884f1a36d43",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-05T09:24:01Z",
    "title_canon_sha256": "397e993d8b50d0dfda41db6ae3128978a80ca9908ae38d9d4cca5b69641a522c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01530",
    "kind": "arxiv",
    "version": 2
  }
}