Pith Number

pith:YMM5YRQ2

pith:2011:YMM5YRQ27GYPXCXETLWYU2VMHQ

not attested not anchored not stored refs pending

Derived splinters in positive characteristic

Bhargav Bhatt

arxiv:1109.0354 v1 · 2011-09-02 · 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{YMM5YRQ27GYPXCXETLWYU2VMHQ}

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	2026-05-17T23:53:19.256827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c319dc461af9b0fb8ae49aed8a6aac3c3f9ad920d81e09f21fccf72796ddd463

Aliases

arxiv: 1109.0354 · arxiv_version: 1109.0354v1 · doi: 10.48550/arxiv.1109.0354 · pith_short_12: YMM5YRQ27GYP · pith_short_16: YMM5YRQ27GYPXCXE · pith_short_8: YMM5YRQ2

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/YMM5YRQ27GYPXCXETLWYU2VMHQ \
  | 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: c319dc461af9b0fb8ae49aed8a6aac3c3f9ad920d81e09f21fccf72796ddd463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f222ec84aa094cdaa66a2350eda94e5824e37417afbcf3f6c9d430d5236999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-02T04:33:14Z",
    "title_canon_sha256": "2015f62260e9243ca689fd1cbbda9fc1f19e573681f1e34cc41f04ed3292c973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0354",
    "kind": "arxiv",
    "version": 1
  }
}