Pith Number

pith:3AGHXTVB

pith:2012:3AGHXTVBUKOPILZY7ICSFO2DT6

not attested not anchored not stored refs pending

Topologies de Grothendieck, descente, quotients

Sylvain Brochard

arxiv:1210.0431 v1 · 2012-10-01 · 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{3AGHXTVBUKOPILZY7ICSFO2DT6}

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	2026-05-18T03:44:22.466958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80c7bcea1a29cf42f38fa0522bb439fab58fcd42461144441c0cbd6dd54acd1

Aliases

arxiv: 1210.0431 · arxiv_version: 1210.0431v1 · doi: 10.48550/arxiv.1210.0431 · pith_short_12: 3AGHXTVBUKOP · pith_short_16: 3AGHXTVBUKOPILZY · pith_short_8: 3AGHXTVB

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/3AGHXTVBUKOPILZY7ICSFO2DT6 \
  | 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: d80c7bcea1a29cf42f38fa0522bb439fab58fcd42461144441c0cbd6dd54acd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0707ea023d8a0aceaabd9da99d27e0e85a0b735ee0c727a1bbea7d31053a690f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-01T15:00:35Z",
    "title_canon_sha256": "aa589be7ab1ad3c23943ee96b7f16365dc8c5035815b16e484cb5cd466ddc42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0431",
    "kind": "arxiv",
    "version": 1
  }
}