Pith Number

pith:NSYLZFFI

pith:2015:NSYLZFFISU2OGNINVZSLA44DID

not attested not anchored not stored refs pending

Intersecting $P$-free families

Abhishek Methuku, Casey Tompkins, D\'aniel Gerbner

arxiv:1506.00864 v2 · 2015-06-02 · 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{NSYLZFFISU2OGNINVZSLA44DID}

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	2026-05-18T00:30:17.970436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb0bc94a89534e3350dae64b0738340f52fe1670ebe4bbd2423b69adac12f0a

Aliases

arxiv: 1506.00864 · arxiv_version: 1506.00864v2 · doi: 10.48550/arxiv.1506.00864 · pith_short_12: NSYLZFFISU2O · pith_short_16: NSYLZFFISU2OGNIN · pith_short_8: NSYLZFFI

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/NSYLZFFISU2OGNINVZSLA44DID \
  | 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: 6cb0bc94a89534e3350dae64b0738340f52fe1670ebe4bbd2423b69adac12f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8941d6ee286e9d97dbcd847b71e2f529e23f01faa64cabba13483584b0b5306f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-02T12:58:14Z",
    "title_canon_sha256": "1e5fe6560cfc4c324d955994a9a2d5f55d4e7db2dbaf8c9bd4eab2630d520b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00864",
    "kind": "arxiv",
    "version": 2
  }
}