Pith Number

pith:X7AJR6OZ

pith:2016:X7AJR6OZOOWRSIKN2U6NVKE6PR

not attested not anchored not stored refs pending

A remark on the irregularity complex

Claude Sabbah

arxiv:1609.01744 v3 · 2016-09-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7AJR6OZOOWRSIKN2U6NVKE6PR}

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	2026-05-18T00:33:27.803928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc098f9d973ad19214dd53cdaa89e7c57c724aee1238c617430125459f304ba

Aliases

arxiv: 1609.01744 · arxiv_version: 1609.01744v3 · doi: 10.48550/arxiv.1609.01744 · pith_short_12: X7AJR6OZOOWR · pith_short_16: X7AJR6OZOOWRSIKN · pith_short_8: X7AJR6OZ

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/X7AJR6OZOOWRSIKN2U6NVKE6PR \
  | 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: bfc098f9d973ad19214dd53cdaa89e7c57c724aee1238c617430125459f304ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea286870fc7665f83661f377cc29567757f5c6f1233cac31a784b4a075b1876f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-06T20:28:19Z",
    "title_canon_sha256": "8552b0ae63fae543b942a444397de416ecab42704fc973772b53e0f001c465be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01744",
    "kind": "arxiv",
    "version": 3
  }
}