Pith Number

pith:47QMG2MV

pith:2019:47QMG2MVY345JYLOZ6D6V4374O

not attested not anchored not stored refs pending

Partition and Cohen-Macaulay Extenders

Alexander Lazar, Bennet Goeckner, Joseph Doolittle

arxiv:1911.12791 v3 · 2019-11-28 · 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{47QMG2MVY345JYLOZ6D6V4374O}

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	2026-07-05T03:26:56.569045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e0c36995c6f9d4e16ecf87eaf37fe38e4087b8ebc4c3ffe92558841e7112b2

Aliases

arxiv: 1911.12791 · arxiv_version: 1911.12791v3 · doi: 10.48550/arxiv.1911.12791 · pith_short_12: 47QMG2MVY345 · pith_short_16: 47QMG2MVY345JYLO · pith_short_8: 47QMG2MV

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/47QMG2MVY345JYLOZ6D6V4374O \
  | 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: e7e0c36995c6f9d4e16ecf87eaf37fe38e4087b8ebc4c3ffe92558841e7112b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f7f6a501b4a0fefd96ee2ed716b996a93a133b3b65879aa15134073333c527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-28T17:03:47Z",
    "title_canon_sha256": "0489f95f092712ffc6142e7f7066eb4d9b14f8001ee48561754f30cd9ab0e672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12791",
    "kind": "arxiv",
    "version": 3
  }
}