Pith Number

pith:4CA5NBH6

pith:2024:4CA5NBH6C3DZOT2ODA35JX6P67

not attested not anchored not stored refs pending

Regular subdivisions, bounds on initial ideals, and categorical limits

Daniel Corey, George Balla, Igor Makhlin, Victoria Schleis

arxiv:2411.12819 v2 · 2024-11-19 · math.CO · 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{4CA5NBH6C3DZOT2ODA35JX6P67}

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	2026-07-05T11:05:36.453231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e081d684fe16c7974f4e1837d4dfcff7c7544dca448c0b64d44690d1802361fe

Aliases

arxiv: 2411.12819 · arxiv_version: 2411.12819v2 · doi: 10.48550/arxiv.2411.12819 · pith_short_12: 4CA5NBH6C3DZ · pith_short_16: 4CA5NBH6C3DZOT2O · pith_short_8: 4CA5NBH6

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/4CA5NBH6C3DZOT2ODA35JX6P67 \
  | 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: e081d684fe16c7974f4e1837d4dfcff7c7544dca448c0b64d44690d1802361fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74e8011dd04b0e1f0b320cbe6652f86aa2c6e0e36ed6565c69f99745e641141",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-19T19:13:47Z",
    "title_canon_sha256": "27a78277663a993d1554a17a052fc5163c0965db79f535659950994d293b1617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12819",
    "kind": "arxiv",
    "version": 2
  }
}