Pith Number

pith:PMPPKG7D

pith:2024:PMPPKG7DQFKAWSKA2XCE3XV5TC

not attested not anchored not stored refs pending

Polyominoes and Knutson ideals

Dharm Veer, Mitra Koley, Nirmal Kotal

arxiv:2411.16364 v1 · 2024-11-25 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMPPKG7DQFKAWSKA2XCE3XV5TC}

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	2026-07-05T09:40:08.306159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1ef51be381540b4940d5c44ddebd98a6a14cc308b8091dc9eb02a0d9cac256

Aliases

arxiv: 2411.16364 · arxiv_version: 2411.16364v1 · doi: 10.48550/arxiv.2411.16364 · pith_short_12: PMPPKG7DQFKA · pith_short_16: PMPPKG7DQFKAWSKA · pith_short_8: PMPPKG7D

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/PMPPKG7DQFKAWSKA2XCE3XV5TC \
  | 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: 7b1ef51be381540b4940d5c44ddebd98a6a14cc308b8091dc9eb02a0d9cac256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a37d8cd5fa9937947b4b51bff2a57b39a9078c1f22cdb23465459ca87f40c7d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-25T13:17:21Z",
    "title_canon_sha256": "288c8fd0ef70fab301ed0239307ac42ac716b80a43e0176d203c2ff9c36fc25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16364",
    "kind": "arxiv",
    "version": 1
  }
}