Pith Number

pith:4LBEF32W

pith:2022:4LBEF32W5JQB3I5BYJE3KETMVF

not attested not anchored not stored refs pending

A remark by Daniel Ferrand on bundles on Fano threefolds

Angelo Felice Lopez, Gianfranco Casnati

arxiv:2212.04158 v3 · 2022-12-08 · 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{4LBEF32W5JQB3I5BYJE3KETMVF}

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	2026-05-20T00:00:13.444323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c242ef56ea601da3a1c249b5126ca96d31c4960d6cc2f004a17d3e7aeaeed3

Aliases

arxiv: 2212.04158 · arxiv_version: 2212.04158v3 · doi: 10.48550/arxiv.2212.04158 · pith_short_12: 4LBEF32W5JQB · pith_short_16: 4LBEF32W5JQB3I5B · pith_short_8: 4LBEF32W

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/4LBEF32W5JQB3I5BYJE3KETMVF \
  | 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: e2c242ef56ea601da3a1c249b5126ca96d31c4960d6cc2f004a17d3e7aeaeed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d03d41019bbbead00b1c6d59811612b25037a139ba6ded424984e7f6b07162c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-08T09:27:28Z",
    "title_canon_sha256": "82f1c1dd0a3480e7a8b19db0b3387f95cf7500b12b4da1a18a3abcf25d6b1b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04158",
    "kind": "arxiv",
    "version": 3
  }
}