Pith Number

pith:DF3DOIRJ

pith:2022:DF3DOIRJ4KPJVSQPGNI36K4GD4

not attested not anchored not stored refs pending

Vertex decomposability and weakly polymatroidal ideals

Amir Mafi, Dler Naderi, Hero Saremi

arxiv:2201.06756 v2 · 2022-01-18 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DF3DOIRJ4KPJVSQPGNI36K4GD4}

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.

Cited by

1 paper in Pith

Morse resolutions of monomial ideals and Betti splittings

Receipt and verification

First computed	2026-07-05T09:27:50.168451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1976372229e29e9aca0f3351bf2b861f1cdfdb33d186490abdb4ffcb8c4bebed

Aliases

arxiv: 2201.06756 · arxiv_version: 2201.06756v2 · doi: 10.48550/arxiv.2201.06756 · pith_short_12: DF3DOIRJ4KPJ · pith_short_16: DF3DOIRJ4KPJVSQP · pith_short_8: DF3DOIRJ

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/DF3DOIRJ4KPJVSQPGNI36K4GD4 \
  | 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: 1976372229e29e9aca0f3351bf2b861f1cdfdb33d186490abdb4ffcb8c4bebed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a67a3d4a87f866882bed864cba1ef2085e3c0f484fcb082175e4bd555ae2ef",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-01-18T05:51:10Z",
    "title_canon_sha256": "36b00ae26e28333d8c8f1ed00ae8b54cece98fdb90a86752ecd862f59f338dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.06756",
    "kind": "arxiv",
    "version": 2
  }
}