Pith Number

pith:5UZYSYTW

pith:2015:5UZYSYTWDYN3A3IOLSVCNO7ZWK

not attested not anchored not stored refs pending

Bi-Cohen-Macaulay graphs

Ahad Rahimi, J\"urgen Herzog

arxiv:1508.07119 v1 · 2015-08-28 · 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{5UZYSYTWDYN3A3IOLSVCNO7ZWK}

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	2026-05-18T01:34:36.900678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed338962761e1bb06d0e5caa26bbf9b280fc93951a882ed2e3d0ae15cff99836

Aliases

arxiv: 1508.07119 · arxiv_version: 1508.07119v1 · doi: 10.48550/arxiv.1508.07119 · pith_short_12: 5UZYSYTWDYN3 · pith_short_16: 5UZYSYTWDYN3A3IO · pith_short_8: 5UZYSYTW

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/5UZYSYTWDYN3A3IOLSVCNO7ZWK \
  | 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: ed338962761e1bb06d0e5caa26bbf9b280fc93951a882ed2e3d0ae15cff99836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a016683d16d066823703ece3591bace02ec5ed69390e8540ce9b8a020dd310",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-28T08:19:20Z",
    "title_canon_sha256": "9e006e4f92024dad4ce17c82927bd11f500a151500d132de0741429b32803070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07119",
    "kind": "arxiv",
    "version": 1
  }
}