Pith Number

pith:KDERSFSR

pith:2011:KDERSFSRQGS4SITP7CIML6I5NL

not attested not anchored not stored refs pending

The generalized gamma functions

Tran Gia Loc, Trinh Duc Tai

arxiv:1105.6002 v1 · 2011-05-30 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDERSFSRQGS4SITP7CIML6I5NL}

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	2026-05-18T04:21:01.117723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c919165181a5c9226ff890c5f91d6aef11a5866e21eaee6edad02cb3e73bf8

Aliases

arxiv: 1105.6002 · arxiv_version: 1105.6002v1 · doi: 10.48550/arxiv.1105.6002 · pith_short_12: KDERSFSRQGS4 · pith_short_16: KDERSFSRQGS4SITP · pith_short_8: KDERSFSR

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/KDERSFSRQGS4SITP7CIML6I5NL \
  | 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: 50c919165181a5c9226ff890c5f91d6aef11a5866e21eaee6edad02cb3e73bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273a1fcd866b5b5a1dcc4ae9f2f640d4dec015de131ec4f5279936dfd2b85629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-05-30T14:15:40Z",
    "title_canon_sha256": "c0030287680d78e65326f0e627c670de4b8ca4bfad1f4f1843ac78a898df1314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6002",
    "kind": "arxiv",
    "version": 1
  }
}