Pith Number

pith:YXS4URRG

pith:2015:YXS4URRGZOTMCOIMBMEBHJMOIW

not attested not anchored not stored refs pending

Singular Fano threefolds of genus 12

Yuri Prokhorov

arxiv:1508.04371 v3 · 2015-08-18 · 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{YXS4URRGZOTMCOIMBMEBHJMOIW}

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	2026-05-18T00:38:04.633401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e5ca4626cba6c1390c0b0813a58e45948185bcb4a3e276ef53928f8fb4d419

Aliases

arxiv: 1508.04371 · arxiv_version: 1508.04371v3 · doi: 10.48550/arxiv.1508.04371 · pith_short_12: YXS4URRGZOTM · pith_short_16: YXS4URRGZOTMCOIM · pith_short_8: YXS4URRG

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/YXS4URRGZOTMCOIMBMEBHJMOIW \
  | 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: c5e5ca4626cba6c1390c0b0813a58e45948185bcb4a3e276ef53928f8fb4d419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "574006a083180c8fb7ff707c323b5697d5996b24aedc705945ae3dfd80e359c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-18T16:17:49Z",
    "title_canon_sha256": "50641763b30baf5344d7db0bbf0b19fc0889fb51c3e7d3a8b2dc5015065a910d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04371",
    "kind": "arxiv",
    "version": 3
  }
}