Pith Number

pith:F4HZWN7H

pith:2013:F4HZWN7HZPQ7ZV76MFPP7G6DUT

not attested not anchored not stored refs pending

Birational geometry of Fano hypersurfaces of index two

Aleksandr Pukhlikov

arxiv:1310.2572 v2 · 2013-10-09 · 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{F4HZWN7HZPQ7ZV76MFPP7G6DUT}

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	2026-05-18T03:07:13.812747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0f9b37e7cbe1fcd7fe615eff9bc3a4f01d6e40418d118ab3167eb59540bb34

Aliases

arxiv: 1310.2572 · arxiv_version: 1310.2572v2 · doi: 10.48550/arxiv.1310.2572 · pith_short_12: F4HZWN7HZPQ7 · pith_short_16: F4HZWN7HZPQ7ZV76 · pith_short_8: F4HZWN7H

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/F4HZWN7HZPQ7ZV76MFPP7G6DUT \
  | 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: 2f0f9b37e7cbe1fcd7fe615eff9bc3a4f01d6e40418d118ab3167eb59540bb34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf50bb634979a31a2093949f49e09b0e051202b82e1b27a8978e90ee4a07d4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-09T18:35:57Z",
    "title_canon_sha256": "90449e9fbd8a5e3f7673962789f4b346d1571ec3e99cae742427dd81ac843343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2572",
    "kind": "arxiv",
    "version": 2
  }
}