Pith Number

pith:4EWS6RZC

pith:2012:4EWS6RZC7JBVP5ZIQAVLS4LD76

not attested not anchored not stored refs pending

Betti numbers associated to the facet ideal of a matroid

Hugues Verdure, Jan Nyquist Roksvold, Trygve Johnsen

arxiv:1207.3443 v3 · 2012-07-14 · 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{4EWS6RZC7JBVP5ZIQAVLS4LD76}

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	2026-05-18T01:21:32.975115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12d2f4722fa4357f728802ab97163ff858b09d045ec4b367d4dddd86dfbc75d

Aliases

arxiv: 1207.3443 · arxiv_version: 1207.3443v3 · doi: 10.48550/arxiv.1207.3443 · pith_short_12: 4EWS6RZC7JBV · pith_short_16: 4EWS6RZC7JBVP5ZI · pith_short_8: 4EWS6RZC

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/4EWS6RZC7JBVP5ZIQAVLS4LD76 \
  | 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: e12d2f4722fa4357f728802ab97163ff858b09d045ec4b367d4dddd86dfbc75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3912a96cf3becbb045c46608b50de373c8e57ef2102e016f056ba19673dbb873",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-14T17:13:35Z",
    "title_canon_sha256": "9e6183f83d91ba225cbde9e5fb6a98e75c7a0a9b3ef6b5006d4a5dac67e767ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3443",
    "kind": "arxiv",
    "version": 3
  }
}