Pith Number

pith:33PGLYYV

pith:2019:33PGLYYVSCMRNBZ3RUC5NT7ETD

not attested not anchored not stored refs pending

Minimal Cohen-Macaulay Simplicial Complexes

Hailong Dao, Joseph Doolittle, Justin Lyle

arxiv:1905.05043 v1 · 2019-05-13 · math.CO · 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{33PGLYYVSCMRNBZ3RUC5NT7ETD}

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	2026-05-17T23:46:22.693054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dede65e315909916873b8d05d6cfe498e6b816241c39998bceef5b380baef4b0

Aliases

arxiv: 1905.05043 · arxiv_version: 1905.05043v1 · doi: 10.48550/arxiv.1905.05043 · pith_short_12: 33PGLYYVSCMR · pith_short_16: 33PGLYYVSCMRNBZ3 · pith_short_8: 33PGLYYV

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/33PGLYYVSCMRNBZ3RUC5NT7ETD \
  | 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: dede65e315909916873b8d05d6cfe498e6b816241c39998bceef5b380baef4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e7ea14a60a2a0d8f89f09ca1c25e242f020d01a91b66e391279f47445c2e05",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-13T14:00:28Z",
    "title_canon_sha256": "1d2c4ee184b4942c670b5bfc19ca267cdbf5349da145691816f328fe9aaa2e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05043",
    "kind": "arxiv",
    "version": 1
  }
}