Pith Number

pith:D3MTRYX4

pith:2013:D3MTRYX4WQ7QBPOUEKCVBRX5QK

not attested not anchored not stored refs pending

Alternating trilinear forms on a 9-dimensional space and degenerations of (3,3)-polarized Abelian surfaces

Laurent Gruson, Steven V Sam

arxiv:1301.5276 v2 · 2013-01-22 · 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{D3MTRYX4WQ7QBPOUEKCVBRX5QK}

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	2026-05-18T02:20:10.932937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed938e2fcb43f00bdd4228550c6fd8297961df3a42fc17dfbb41687e3f5e7f9

Aliases

arxiv: 1301.5276 · arxiv_version: 1301.5276v2 · doi: 10.48550/arxiv.1301.5276 · pith_short_12: D3MTRYX4WQ7Q · pith_short_16: D3MTRYX4WQ7QBPOU · pith_short_8: D3MTRYX4

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/D3MTRYX4WQ7QBPOUEKCVBRX5QK \
  | 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: 1ed938e2fcb43f00bdd4228550c6fd8297961df3a42fc17dfbb41687e3f5e7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3d84e2a3f4bff52efa482a09cbf975b4cf0721c5734bc9de2561f9d5b5864a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-22T19:05:32Z",
    "title_canon_sha256": "0dd9dafdd4cc10681f617e748d4a4e296dbe2d3aafd95054d6826a33c24a69db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5276",
    "kind": "arxiv",
    "version": 2
  }
}