Pith Number

pith:IVFOZ23B

pith:2012:IVFOZ23BKRJ4KYVYNXWPT4CFR4

not attested not anchored not stored refs pending

Torsion-free Sheaves and ACM Schemes

M.L. Spreafico, R. Notari, S. Greco

arxiv:1202.3551 v1 · 2012-02-16 · 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{IVFOZ23BKRJ4KYVYNXWPT4CFR4}

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	2026-05-18T04:02:12.898218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454aeceb615453c562b86decf9f0458f0933df41a5a4f5ee31637156c2e1a40c

Aliases

arxiv: 1202.3551 · arxiv_version: 1202.3551v1 · doi: 10.48550/arxiv.1202.3551 · pith_short_12: IVFOZ23BKRJ4 · pith_short_16: IVFOZ23BKRJ4KYVY · pith_short_8: IVFOZ23B

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/IVFOZ23BKRJ4KYVYNXWPT4CFR4 \
  | 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: 454aeceb615453c562b86decf9f0458f0933df41a5a4f5ee31637156c2e1a40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affd1ff629a12839d76ffc651ebbbfc24120b3de13a79a7fff73f12db69955ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-16T10:04:45Z",
    "title_canon_sha256": "81c5a90b2b498077f2aba8e08b8204795d4470867189b499f9cfca4f25298d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3551",
    "kind": "arxiv",
    "version": 1
  }
}