Pith Number

pith:TDI4JDPL

pith:2012:TDI4JDPLXVETQH2A3VKTK6DO3D

not attested not anchored not stored refs pending

Numerical invariants of Fano 4-folds

C. Casagrande

arxiv:1201.5464 v1 · 2012-01-26 · 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{TDI4JDPLXVETQH2A3VKTK6DO3D}

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	2026-05-18T04:03:53.941474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d1c48debbd49381f40dd5535786ed8df07d1c2cc773775cfe455fc1eb0d9d5

Aliases

arxiv: 1201.5464 · arxiv_version: 1201.5464v1 · doi: 10.48550/arxiv.1201.5464 · pith_short_12: TDI4JDPLXVET · pith_short_16: TDI4JDPLXVETQH2A · pith_short_8: TDI4JDPL

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/TDI4JDPLXVETQH2A3VKTK6DO3D \
  | 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: 98d1c48debbd49381f40dd5535786ed8df07d1c2cc773775cfe455fc1eb0d9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96cc7360a54519a74247b3099abeba466f3e40c8a2261c459a80fd53c16d807f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-26T09:18:57Z",
    "title_canon_sha256": "abda8eaf235f5056cdc8f2b526f1453278bb556744a2ff2ffe33302534c26805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5464",
    "kind": "arxiv",
    "version": 1
  }
}