Pith Number

pith:44EQ24YD

pith:2013:44EQ24YD6IEAA56BY4SZYZSCBU

not attested not anchored not stored refs pending

The probabilistic approach to limited packings in graphs

Andrei Gagarin, Vadim Zverovich

arxiv:1311.1707 v1 · 2013-11-07 · cs.DM · 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{44EQ24YD6IEAA56BY4SZYZSCBU}

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	2026-05-18T02:09:41.982064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7090d7303f2080077c1c7259c66420d064fea945a4a7f45d6c7a38076e3507a

Aliases

arxiv: 1311.1707 · arxiv_version: 1311.1707v1 · doi: 10.48550/arxiv.1311.1707 · pith_short_12: 44EQ24YD6IEA · pith_short_16: 44EQ24YD6IEAA56B · pith_short_8: 44EQ24YD

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/44EQ24YD6IEAA56BY4SZYZSCBU \
  | 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: e7090d7303f2080077c1c7259c66420d064fea945a4a7f45d6c7a38076e3507a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7ae99a9e25fcaccd9871203d1315348afe636b95497eb63891dad43ab53500",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-11-07T15:02:40Z",
    "title_canon_sha256": "dd05f24f6f9297cd017157f33f7adbf485f7919372755420e85f0bc03c080d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1707",
    "kind": "arxiv",
    "version": 1
  }
}