Pith Number

pith:BFXZFOJG

pith:2012:BFXZFOJG5CJX72SKYC467PJLOK

not attested not anchored not stored refs pending

A note on Fermionic p-adic integrals on Zp and umbral calculus

Dae San Kim, Sagtae Jeong, Seog-Hoon Rim, Taekyun Kim

arxiv:1211.6638 v1 · 2012-11-22 · 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{BFXZFOJG5CJX72SKYC467PJLOK}

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	2026-05-18T03:39:44.147703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096f92b926e8937fea4ac0b9efbd2b72ab48fe3f4817a6609ea919bc929ac3ec

Aliases

arxiv: 1211.6638 · arxiv_version: 1211.6638v1 · doi: 10.48550/arxiv.1211.6638 · pith_short_12: BFXZFOJG5CJX · pith_short_16: BFXZFOJG5CJX72SK · pith_short_8: BFXZFOJG

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/BFXZFOJG5CJX72SKYC467PJLOK \
  | 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: 096f92b926e8937fea4ac0b9efbd2b72ab48fe3f4817a6609ea919bc929ac3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7884a0d1b6cf9c52ac94e3b22b87431daaa98a22ede052582a959b5293863aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-22T15:26:58Z",
    "title_canon_sha256": "09efc5649dc518735865edd7842617075b7c2976a07c681503ea8ce52958872f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6638",
    "kind": "arxiv",
    "version": 1
  }
}