Pith Number

pith:IROY3TUQ

pith:2014:IROY3TUQYUYSTDT5QA4AIVD2MY

not attested not anchored not stored refs pending

16,051 formulas for Ottaviani's invariant of cubic threefolds

Abdelmalek Abdesselam, Christian Ikenmeyer, Gordon Royle

arxiv:1402.2669 v2 · 2014-02-11 · math.AG · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IROY3TUQYUYSTDT5QA4AIVD2MY}

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	2026-05-18T02:17:22.391809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445d8dce90c531298e7d803804547a66205323e2704d5daa609cf17be63159d3

Aliases

arxiv: 1402.2669 · arxiv_version: 1402.2669v2 · doi: 10.48550/arxiv.1402.2669 · pith_short_12: IROY3TUQYUYS · pith_short_16: IROY3TUQYUYSTDT5 · pith_short_8: IROY3TUQ

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/IROY3TUQYUYSTDT5QA4AIVD2MY \
  | 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: 445d8dce90c531298e7d803804547a66205323e2704d5daa609cf17be63159d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0ecf38dda715edd0dcd285800a8748559c29d64a75b4a7611c75a5c3d661b0",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-11T21:25:29Z",
    "title_canon_sha256": "0a4b8b95b687fdff631e70f610c6f6547c969eeb7f2cc67077e27ea09a6414ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2669",
    "kind": "arxiv",
    "version": 2
  }
}