Pith Number

pith:OZD7G4DS

pith:2016:OZD7G4DSIFIVDOCEHBU7ZQW643

not attested not anchored not stored refs pending

A Note on Large H-Intersecting Families

Nathan Keller, Noam Lifshitz

arxiv:1609.01884 v2 · 2016-09-07 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZD7G4DSIFIVDOCEHBU7ZQW643}

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	2026-05-18T00:03:32.736154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7647f37072415151b8443869fcc2dee6dcea6f8495c09e88ad1579ff2ebada51

Aliases

arxiv: 1609.01884 · arxiv_version: 1609.01884v2 · doi: 10.48550/arxiv.1609.01884 · pith_short_12: OZD7G4DSIFIV · pith_short_16: OZD7G4DSIFIVDOCE · pith_short_8: OZD7G4DS

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/OZD7G4DSIFIVDOCEHBU7ZQW643 \
  | 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: 7647f37072415151b8443869fcc2dee6dcea6f8495c09e88ad1579ff2ebada51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0848c015c08816344ad2c02f4df7d9e77d6b51e0d6702f0e98d7c980abdef16e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-07T08:47:58Z",
    "title_canon_sha256": "9f244b0379d23d8cb243a9f3fca2dca362b25730de43fda6bafab2a29ffab880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01884",
    "kind": "arxiv",
    "version": 2
  }
}