Pith Number

pith:UT7JDS4G

pith:2026:UT7JDS4G5247QAKBSHJZSP4XCM

not attested not anchored not stored refs pending

Geometrically vertex decomposable star configurations

Adam Van Tuyl, Elena Guardo, Emanuela Marangone, Susan M. Cooper

arxiv:2607.10691 v1 · 2026-07-12 · math.AC · 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{UT7JDS4G5247QAKBSHJZSP4XCM}

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	2026-07-14T01:21:34.978920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fe91cb86eeb9f8014191d3993f97132bd3ec24f07c2c88554b3aa9ccdf9947

Aliases

arxiv: 2607.10691 · arxiv_version: 2607.10691v1 · doi: 10.48550/arxiv.2607.10691 · pith_short_12: UT7JDS4G5247 · pith_short_16: UT7JDS4G5247QAKB · pith_short_8: UT7JDS4G

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/UT7JDS4G5247QAKBSHJZSP4XCM \
  | 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: a4fe91cb86eeb9f8014191d3993f97132bd3ec24f07c2c88554b3aa9ccdf9947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b82f91ac7632a8c57a0e40514769d5830df798184430603a5bbb45d30727e89",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-12T10:23:44Z",
    "title_canon_sha256": "1b5d4a42544f323a999f6b5b8333af9dfd6ba217ec9dd5ae729f0a6270c4723c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10691",
    "kind": "arxiv",
    "version": 1
  }
}