Pith Number

pith:CBBN4JYT

pith:2013:CBBN4JYTO7ZEU2KVZMFXJR3UU5

not attested not anchored not stored refs pending

On approximately Cohen-Macaulay binomial edge ideal

Sohail Zafar

arxiv:1301.0784 v1 · 2013-01-04 · 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{CBBN4JYTO7ZEU2KVZMFXJR3UU5}

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	2026-05-18T03:37:17.589414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1042de271377f24a6955cb0b74c774a766be38acf5356c966eea22281059b559

Aliases

arxiv: 1301.0784 · arxiv_version: 1301.0784v1 · doi: 10.48550/arxiv.1301.0784 · pith_short_12: CBBN4JYTO7ZE · pith_short_16: CBBN4JYTO7ZEU2KV · pith_short_8: CBBN4JYT

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/CBBN4JYTO7ZEU2KVZMFXJR3UU5 \
  | 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: 1042de271377f24a6955cb0b74c774a766be38acf5356c966eea22281059b559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067e2fb8347f4893c425fd7f919f4b5e24d55154e52c8c164dc47f00b1c8c86f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-04T18:06:32Z",
    "title_canon_sha256": "c3488affb4f77e3f7f7e2330c9178f7c83848942ca475c1622cdde5eaf4a134a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0784",
    "kind": "arxiv",
    "version": 1
  }
}