Pith Number

pith:REVHYG77

pith:2011:REVHYG773CRJYKKSS73ZT2KMSW

not attested not anchored not stored refs pending

Non-vanishingness of Betti numbers of edge ideals

Kyouko Kimura

arxiv:1110.2333 v3 · 2011-10-11 · 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{REVHYG773CRJYKKSS73ZT2KMSW}

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	2026-05-18T04:08:03.371140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892a7c1bffd8a29c295297f799e94c95b2835170c3958a2b9762e48cfafdf6f6

Aliases

arxiv: 1110.2333 · arxiv_version: 1110.2333v3 · doi: 10.48550/arxiv.1110.2333 · pith_short_12: REVHYG773CRJ · pith_short_16: REVHYG773CRJYKKS · pith_short_8: REVHYG77

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/REVHYG773CRJYKKSS73ZT2KMSW \
  | 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: 892a7c1bffd8a29c295297f799e94c95b2835170c3958a2b9762e48cfafdf6f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b51fc07d1ca51b1d17acee0ad3fe476e544e6887aa209726d991e8fde0f035",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-11T11:29:33Z",
    "title_canon_sha256": "b7f107ab89719a311c99d58bfdb8343f48bedd96fc5423b97231a1964f8c7bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2333",
    "kind": "arxiv",
    "version": 3
  }
}