Pith Number

pith:LI7CMIMY

pith:2010:LI7CMIMY2A2ESNQJQVA7XT6NPD

not attested not anchored not stored refs pending

Erdos-Ko-Rado theorems for simplicial complexes

Russ Woodroofe

arxiv:1001.0313 v3 · 2010-01-04 · 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{LI7CMIMY2A2ESNQJQVA7XT6NPD}

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	2026-05-18T04:30:58.100118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3e262198d0344936098541fbcfcd78ca03c76afaa1c2146da814de13b4fbf7

Aliases

arxiv: 1001.0313 · arxiv_version: 1001.0313v3 · doi: 10.48550/arxiv.1001.0313 · pith_short_12: LI7CMIMY2A2E · pith_short_16: LI7CMIMY2A2ESNQJ · pith_short_8: LI7CMIMY

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/LI7CMIMY2A2ESNQJQVA7XT6NPD \
  | 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: 5a3e262198d0344936098541fbcfcd78ca03c76afaa1c2146da814de13b4fbf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad243c10d862d282649c9b3184b69e37ed5c6cf060451b12078773fd782ba46c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-04T18:58:23Z",
    "title_canon_sha256": "6fa22c72fa1437bc1ab02bab4c374d9261d774c76027c3366d5a1084e03ae43e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0313",
    "kind": "arxiv",
    "version": 3
  }
}