Pith Number

pith:R3A5BEEK

pith:2023:R3A5BEEKOLVQCUXG3GBIIITBAU

not attested not anchored not stored refs pending

Toric Fiber Products in Geometric Modeling

Benjamin Hollering, Eliana Duarte, Maximilian Wiesmann

arxiv:2303.08754 v2 · 2023-03-15 · math.AG · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3A5BEEKOLVQCUXG3GBIIITBAU}

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	2026-07-05T06:19:39.994377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec1d0908a72eb0152e6d9828422610500b023f8639217a6cc1ae3cdecf9850d

Aliases

arxiv: 2303.08754 · arxiv_version: 2303.08754v2 · doi: 10.48550/arxiv.2303.08754 · pith_short_12: R3A5BEEKOLVQ · pith_short_16: R3A5BEEKOLVQCUXG · pith_short_8: R3A5BEEK

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/R3A5BEEKOLVQCUXG3GBIIITBAU \
  | 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: 8ec1d0908a72eb0152e6d9828422610500b023f8639217a6cc1ae3cdecf9850d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2562d33e06394c4b20ae18191c5c825ae39cde052d4155787b7a4e79f21d70",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-15T16:47:03Z",
    "title_canon_sha256": "63c9f52de91091c323fe057d979cc22bc030e2abe2336abf7841b290b4004d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.08754",
    "kind": "arxiv",
    "version": 2
  }
}