Pith Number

pith:L5JSBYLY

pith:2013:L5JSBYLYK6ZKGWEJEH6V52UYBR

not attested not anchored not stored refs pending

Independence densities of hypergraphs

Anthony Bonato, Dieter Mitsche, Jason Brown, Pawel Pralat

arxiv:1308.2837 v1 · 2013-08-13 · 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{L5JSBYLYK6ZKGWEJEH6V52UYBR}

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	2026-05-18T03:15:58.409452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5320e17857b2a3588921fd5eea980c71192524d9efc13834b2c7c154072884

Aliases

arxiv: 1308.2837 · arxiv_version: 1308.2837v1 · doi: 10.48550/arxiv.1308.2837 · pith_short_12: L5JSBYLYK6ZK · pith_short_16: L5JSBYLYK6ZKGWEJ · pith_short_8: L5JSBYLY

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/L5JSBYLYK6ZKGWEJEH6V52UYBR \
  | 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: 5f5320e17857b2a3588921fd5eea980c71192524d9efc13834b2c7c154072884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4f681dc2a7d5144cde71d265c4725c9b81610f341df06fd088ba2fe5b29f1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-13T12:32:10Z",
    "title_canon_sha256": "c26ea873af4942387166cf1ce12e494cfed15620866044d4ff671e1655acb41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2837",
    "kind": "arxiv",
    "version": 1
  }
}