Pith Number

pith:J24HHYF4

pith:2010:J24HHYF4EN3ITBVALABOERVKMR

not attested not anchored not stored refs pending

Dependence of Betti Numbers on Characteristic

Kia Dalili, Manoj Kummini

arxiv:1009.4243 v1 · 2010-09-22 · 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{J24HHYF4EN3ITBVALABOERVKMR}

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	2026-05-18T04:40:33.677991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb873e0bc23768986a05802e246aa6441fd481f786ba4bb09e89dc39c252020

Aliases

arxiv: 1009.4243 · arxiv_version: 1009.4243v1 · doi: 10.48550/arxiv.1009.4243 · pith_short_12: J24HHYF4EN3I · pith_short_16: J24HHYF4EN3ITBVA · pith_short_8: J24HHYF4

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/J24HHYF4EN3ITBVALABOERVKMR \
  | 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: 4eb873e0bc23768986a05802e246aa6441fd481f786ba4bb09e89dc39c252020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339594bf33f19a2e623182bb97521f30c85248c39b7ce8dd168d8ce3f5904192",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-22T01:13:03Z",
    "title_canon_sha256": "bf759112ed53f908f19b788cb2c8a8fb67948e3e0e7faa29236a430110d44f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4243",
    "kind": "arxiv",
    "version": 1
  }
}