Pith Number

pith:2B72JKEP

pith:2023:2B72JKEPJKF2QGAELACBS5FWBB

not attested not anchored not stored refs pending

Formal GAGA for gerbes

Andrew Kresch, Siddharth Mathur

arxiv:2305.19114 v2 · 2023-05-30 · 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{2B72JKEPJKF2QGAELACBS5FWBB}

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.

Cited by

1 paper in Pith

Extensions of Abelian Schemes and the Additive Group

Receipt and verification

First computed	2026-07-05T06:55:55.364682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07fa4a88f4a8ba8180458041974b6085192b0d53b3127ef09931afd275c395a

Aliases

arxiv: 2305.19114 · arxiv_version: 2305.19114v2 · doi: 10.48550/arxiv.2305.19114 · pith_short_12: 2B72JKEPJKF2 · pith_short_16: 2B72JKEPJKF2QGAE · pith_short_8: 2B72JKEP

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/2B72JKEPJKF2QGAELACBS5FWBB \
  | 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: d07fa4a88f4a8ba8180458041974b6085192b0d53b3127ef09931afd275c395a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfa5a954e896ae3654de32f6a4d60ef2bdf107f344850540d79216403005d39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-30T15:24:35Z",
    "title_canon_sha256": "2c0a7e2682f874cfbbc96d4cbb039598ec0dcac71a90d846a43ef4a1d701bb8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.19114",
    "kind": "arxiv",
    "version": 2
  }
}