Pith Number

pith:MRBANEO5

pith:2008:MRBANEO5F2EFDMIA3PT3EDOCIL

not attested not anchored not stored refs pending

Birational geometry and localisation of categories

Bruno Kahn (IMJ), R. Sujatha

arxiv:0805.3753 v3 · 2008-05-24 · 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{MRBANEO5F2EFDMIA3PT3EDOCIL}

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	2026-05-18T01:10:00.353224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64420691dd2e8851b100dbe7b20dc242c72a26c3e2f64fc2675bc29ec1f9117e

Aliases

arxiv: 0805.3753 · arxiv_version: 0805.3753v3 · doi: 10.48550/arxiv.0805.3753 · pith_short_12: MRBANEO5F2EF · pith_short_16: MRBANEO5F2EFDMIA · pith_short_8: MRBANEO5

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/MRBANEO5F2EFDMIA3PT3EDOCIL \
  | 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: 64420691dd2e8851b100dbe7b20dc242c72a26c3e2f64fc2675bc29ec1f9117e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a532eaf7c32474a50aefaeb6a7bc9b57656f19d3c04420d688d7cf6087324be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-24T09:45:14Z",
    "title_canon_sha256": "014390386f4266f97b001b0ceda9da090a962b47dea108f54433ca6d774bedf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3753",
    "kind": "arxiv",
    "version": 3
  }
}