Pith Number

pith:CEZGZQ32

pith:2024:CEZGZQ32DFHK6USY5FAAV4VDGJ

not attested not anchored not stored refs pending

Bernstein-Sato theory modulo $p^m$

Eamon Quinlan-Gallego, Thomas Bitoun

arxiv:2401.07082 v3 · 2024-01-13 · math.AC · math.AG · 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{CEZGZQ32DFHK6USY5FAAV4VDGJ}

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	2026-05-20T14:03:17.160741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11326cc37a194eaf5258e9400af2a33266580f6a2429959a336f051bd72ca879

Aliases

arxiv: 2401.07082 · arxiv_version: 2401.07082v3 · doi: 10.48550/arxiv.2401.07082 · pith_short_12: CEZGZQ32DFHK · pith_short_16: CEZGZQ32DFHK6USY · pith_short_8: CEZGZQ32

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/CEZGZQ32DFHK6USY5FAAV4VDGJ \
  | 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: 11326cc37a194eaf5258e9400af2a33266580f6a2429959a336f051bd72ca879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d2ed385e3010b3ec6cfbd455710815f609d03320c0432278f77414f2cbe30d",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-01-13T14:15:35Z",
    "title_canon_sha256": "4497f988ddd012a10e3a824ebdb53c8c1ede7a530be33a07a29a7a9cbd02b19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.07082",
    "kind": "arxiv",
    "version": 3
  }
}