Pith Number

pith:PFGEMMUQ

pith:2011:PFGEMMUQXYXFRFHYDNUQNY5RVC

not attested not anchored not stored refs pending

Triangle-intersecting families on eight vertices

Yuval Filmus

arxiv:1102.1764 v1 · 2011-02-09 · 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{PFGEMMUQXYXFRFHYDNUQNY5RVC}

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	2026-05-18T04:29:44.195252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794c463290be2e5894f81b6906e3b1a88f556c67334347ff0601e66dcb8c69cc

Aliases

arxiv: 1102.1764 · arxiv_version: 1102.1764v1 · doi: 10.48550/arxiv.1102.1764 · pith_short_12: PFGEMMUQXYXF · pith_short_16: PFGEMMUQXYXFRFHY · pith_short_8: PFGEMMUQ

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/PFGEMMUQXYXFRFHYDNUQNY5RVC \
  | 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: 794c463290be2e5894f81b6906e3b1a88f556c67334347ff0601e66dcb8c69cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09211baddb8edd65c570bc8ee48f1e5c68c2cba4558e0ff36912c7497d7dbdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-09T01:58:27Z",
    "title_canon_sha256": "3adcd92f1ea6fc81828288ab9e306a6319b406d08a99bde50c4d7a67ebd224af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1764",
    "kind": "arxiv",
    "version": 1
  }
}