Pith Number

pith:5XPTLKA7

pith:2019:5XPTLKA72N7RIOQIDNHQP5AVVY

not attested not anchored not stored refs pending

An Octanomial Model for Cubic Surfaces

Bernd Sturmfels, Emre Can Sert\"oz, Marta Panizzut

arxiv:1908.06106 v3 · 2019-08-16 · 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{5XPTLKA72N7RIOQIDNHQP5AVVY}

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	2026-07-05T01:44:08.130253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddf35a81fd37f143a081b4f07f415ae29bb1071a38e38188354ed8b76bb9805

Aliases

arxiv: 1908.06106 · arxiv_version: 1908.06106v3 · doi: 10.48550/arxiv.1908.06106 · pith_short_12: 5XPTLKA72N7R · pith_short_16: 5XPTLKA72N7RIOQI · pith_short_8: 5XPTLKA7

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/5XPTLKA72N7RIOQIDNHQP5AVVY \
  | 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: eddf35a81fd37f143a081b4f07f415ae29bb1071a38e38188354ed8b76bb9805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4606f575f42f857988ea8167ba207b651e43bc2ecfe442bc472a32bdb920c52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-16T18:00:17Z",
    "title_canon_sha256": "f5556e242021697c4c8a5113a4c022a1d9ea56d2e43b7f1d3250a034c8b568a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06106",
    "kind": "arxiv",
    "version": 3
  }
}