Pith Number

pith:Q5MIL2BF

pith:2015:Q5MIL2BFPOKQNMF3DAEMWQBFDR

not attested not anchored not stored refs pending

The greedy independent set in a random graph with given degrees

Graham Brightwell, Malwina Luczak, Svante Janson

arxiv:1510.05560 v1 · 2015-10-19 · math.PR · 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{Q5MIL2BFPOKQNMF3DAEMWQBFDR}

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	2026-05-18T01:29:52.020461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875885e8257b9506b0bb1808cb40251c4ae8535f995977ccb66bac9691d54c54

Aliases

arxiv: 1510.05560 · arxiv_version: 1510.05560v1 · doi: 10.48550/arxiv.1510.05560 · pith_short_12: Q5MIL2BFPOKQ · pith_short_16: Q5MIL2BFPOKQNMF3 · pith_short_8: Q5MIL2BF

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/Q5MIL2BFPOKQNMF3DAEMWQBFDR \
  | 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: 875885e8257b9506b0bb1808cb40251c4ae8535f995977ccb66bac9691d54c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e216146846ba0e2fdb5cd35862514d51658cbfcdaba184d3aea048bc49a43fe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-19T16:11:37Z",
    "title_canon_sha256": "3bda06292222309d19cdef79488c34c90eecbe48e20a155df1b0bf842ffdd4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05560",
    "kind": "arxiv",
    "version": 1
  }
}