Pith Number

pith:OMU7Z5IR

pith:2019:OMU7Z5IRBF72LEJMSWAXGN45HN

not attested not anchored not stored refs pending

Rationality of Fano threefolds with terminal Gorenstein singularities, I

Yuri Prokhorov

arxiv:1907.05678 v1 · 2019-07-12 · 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{OMU7Z5IRBF72LEJMSWAXGN45HN}

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	2026-05-17T23:40:47.325024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7329fcf511097fa5912c958173379d3b48d6c51f795934f1d16bfa5a154a7fc3

Aliases

arxiv: 1907.05678 · arxiv_version: 1907.05678v1 · doi: 10.48550/arxiv.1907.05678 · pith_short_12: OMU7Z5IRBF72 · pith_short_16: OMU7Z5IRBF72LEJM · pith_short_8: OMU7Z5IR

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/OMU7Z5IRBF72LEJMSWAXGN45HN \
  | 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: 7329fcf511097fa5912c958173379d3b48d6c51f795934f1d16bfa5a154a7fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c889a0faa88c9df9252db562100695b24320bae3518bbe5cf381cb20c9d4d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-12T11:24:20Z",
    "title_canon_sha256": "2ecbdeafcfbc49511ee5605241a4ee7ea88ecfb5ce279836e6764230cc323d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05678",
    "kind": "arxiv",
    "version": 1
  }
}