Pith Number

pith:VGGEPVI4

pith:2012:VGGEPVI4Z6ZAYZ7YFX5K7LVGUX

not attested not anchored not stored refs pending

Matroids, hereditary collections and simplicial complexes having boolean representations

John Rhodes, Pedro V. Silva

arxiv:1210.7064 v1 · 2012-10-26 · 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{VGGEPVI4Z6ZAYZ7YFX5K7LVGUX}

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	2026-05-18T03:42:21.791096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98c47d51ccfb20c67f82dfaafaea6a5ce88be5a13cd183b3184e803aa299a2c

Aliases

arxiv: 1210.7064 · arxiv_version: 1210.7064v1 · doi: 10.48550/arxiv.1210.7064 · pith_short_12: VGGEPVI4Z6ZA · pith_short_16: VGGEPVI4Z6ZAYZ7Y · pith_short_8: VGGEPVI4

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/VGGEPVI4Z6ZAYZ7YFX5K7LVGUX \
  | 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: a98c47d51ccfb20c67f82dfaafaea6a5ce88be5a13cd183b3184e803aa299a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45522a22da36c341b136af72959fa47fa6ae933aaa336b7564eaeb709a7d44f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-26T08:07:05Z",
    "title_canon_sha256": "850eb4429f556c669bf97a0d25ca794ab9c4bde007f97d6249fed1f9e0c8ea89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7064",
    "kind": "arxiv",
    "version": 1
  }
}