Pith Number

pith:4OJAF32U

pith:2014:4OJAF32UTRZVYYUN6E5O4PM7EP

not attested not anchored not stored refs pending

Proof of a Conjecture of Batyrev and Nill

David Favero, Tyler L. Kelly

arxiv:1412.1354 v5 · 2014-12-03 · 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{4OJAF32UTRZVYYUN6E5O4PM7EP}

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	2026-05-18T01:02:14.073270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39202ef549c735c628df13aee3d9f23d33827fc280f4f9eeeee862b75b8c6fd

Aliases

arxiv: 1412.1354 · arxiv_version: 1412.1354v5 · doi: 10.48550/arxiv.1412.1354 · pith_short_12: 4OJAF32UTRZV · pith_short_16: 4OJAF32UTRZVYYUN · pith_short_8: 4OJAF32U

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/4OJAF32UTRZVYYUN6E5O4PM7EP \
  | 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: e39202ef549c735c628df13aee3d9f23d33827fc280f4f9eeeee862b75b8c6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcacda04247770f6e80b5f5be400e86b674ac69c0ab81d3e16fd82aff98fb17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-03T15:03:37Z",
    "title_canon_sha256": "06210a7527959889600061615a92a1bb80fc82bfbd961bfe3caf8f8966ea2811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1354",
    "kind": "arxiv",
    "version": 5
  }
}