Pith Number

pith:2WYCVVKQ

pith:2022:2WYCVVKQJB46ZETXTDVGEBRLZV

not attested not anchored not stored refs pending

P-adic incomplete gamma functions and Artin-Hasse-type series

Jay Reiter, Jin Yi, Napoleon Wang, Shiang Tang, Xiaojian Li

arxiv:2207.11806 v3 · 2022-07-24 · 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{2WYCVVKQJB46ZETXTDVGEBRLZV}

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	2026-07-05T05:20:13.301725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b02ad5504879ec927798ea62062bcd4ed448d1320c6634231a65c12f25972e

Aliases

arxiv: 2207.11806 · arxiv_version: 2207.11806v3 · doi: 10.48550/arxiv.2207.11806 · pith_short_12: 2WYCVVKQJB46 · pith_short_16: 2WYCVVKQJB46ZETX · pith_short_8: 2WYCVVKQ

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/2WYCVVKQJB46ZETXTDVGEBRLZV \
  | 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: d5b02ad5504879ec927798ea62062bcd4ed448d1320c6634231a65c12f25972e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f518c29f57ea45577b03a68fe097b4d14896b5b3bfc0cd31b6ea792fdb7eca5b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-24T20:32:49Z",
    "title_canon_sha256": "22cfb6066d58501f2fcfc62219136f2aba38c982dca00ba6b634974d27a6402c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11806",
    "kind": "arxiv",
    "version": 3
  }
}