Pith Number

pith:WOTKNTJF

pith:2021:WOTKNTJFJWRLLSHCKVCKZPGZCA

not attested not anchored not stored refs pending

Schemes in Lean

Amelia Livingston, Chris Hughes, Kenny Lau, Kevin Buzzard, Ramon Fern\'andez Mir, Scott Morrison

arxiv:2101.02602 v2 · 2021-01-07 · 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{WOTKNTJFJWRLLSHCKVCKZPGZCA}

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	2026-07-05T04:06:13.928076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a6a6cd254da2b5c8e25544acbcd91030366beae4fce03ac622c702fe4b636a

Aliases

arxiv: 2101.02602 · arxiv_version: 2101.02602v2 · doi: 10.48550/arxiv.2101.02602 · pith_short_12: WOTKNTJFJWRL · pith_short_16: WOTKNTJFJWRLLSHC · pith_short_8: WOTKNTJF

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/WOTKNTJFJWRLLSHCKVCKZPGZCA \
  | 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: b3a6a6cd254da2b5c8e25544acbcd91030366beae4fce03ac622c702fe4b636a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d9b0df6b687f70f4f726da57fa61e25922ccac4cf79e33624effb68923f78a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-01-07T16:00:29Z",
    "title_canon_sha256": "44fc64184b1cfdb763e92d817adc5f9168af0f771aa3dc42fb0b60ff6cb9c920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.02602",
    "kind": "arxiv",
    "version": 2
  }
}