Pith Number

pith:F62RK74Y

pith:2013:F62RK74YEYPJUZZX2AJN2CKBK3

not attested not anchored not stored refs pending

On the genus of birational maps between 3-folds

St\'ephane Lamy

arxiv:1305.2482 v2 · 2013-05-11 · 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{F62RK74YEYPJUZZX2AJN2CKBK3}

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	2026-05-18T01:01:36.356565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb5157f98261e9a6737d012dd094156d9645a58db282d316f8b63935a4e2555

Aliases

arxiv: 1305.2482 · arxiv_version: 1305.2482v2 · doi: 10.48550/arxiv.1305.2482 · pith_short_12: F62RK74YEYPJ · pith_short_16: F62RK74YEYPJUZZX · pith_short_8: F62RK74Y

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/F62RK74YEYPJUZZX2AJN2CKBK3 \
  | 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: 2fb5157f98261e9a6737d012dd094156d9645a58db282d316f8b63935a4e2555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5010eb64714dbb49beeb780fffbc2c8e428b8b918be89aa511d96ba6ff55a56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-11T08:55:34Z",
    "title_canon_sha256": "14cc113da9e093dba596510ca040a11aade9c467a6468434776056b5202f4a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2482",
    "kind": "arxiv",
    "version": 2
  }
}