Pith Number

pith:BR7O3YR5

pith:2025:BR7O3YR5XAUTWNMGWMQDJGHBFV

not attested not anchored not stored refs pending

Bialgebraic varieties of the Gamma function

Adele Padgett, Roy Zhao, Sebastian Eterovi\'c

arxiv:2509.24982 v2 · 2025-09-29 · math.CV · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BR7O3YR5XAUTWNMGWMQDJGHBFV}

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

2 papers in Pith

Bialgebraic geometry of B\"ottcher coordinates

Real geometric transcendence for the Gamma function

Receipt and verification

First computed	2026-08-12T01:21:19.183708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7eede23db8293b3586b3203498e12d57b5a5b0df1dcb85dabcda5cc3e552e6

Aliases

arxiv: 2509.24982 · arxiv_version: 2509.24982v2 · doi: 10.48550/arxiv.2509.24982 · pith_short_12: BR7O3YR5XAUT · pith_short_16: BR7O3YR5XAUTWNMG · pith_short_8: BR7O3YR5

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/BR7O3YR5XAUTWNMGWMQDJGHBFV \
  | 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: 0c7eede23db8293b3586b3203498e12d57b5a5b0df1dcb85dabcda5cc3e552e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802b138bd28557b611c4aada59fa1d3fa4a78ed50bf8792bbd1fa4e16a0ef5ad",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-09-29T16:09:34Z",
    "title_canon_sha256": "7f5141467cd2139a46376ee6b3b2c82d1de233f8a7e6ccc5d37a035dd41d71f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24982",
    "kind": "arxiv",
    "version": 2
  }
}