Pith Number

pith:SX52WT53

pith:2011:SX52WT53VQWIQVNEPCBLJW44F3

not attested not anchored not stored refs pending

Covering the edges of a random graph by cliques

Alan Frieze, Bruce Reed

arxiv:1103.4870 v1 · 2011-03-24 · 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{SX52WT53VQWIQVNEPCBLJW44F3}

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.

Cited by

1 paper in Pith

Asymptotically Smaller Encodings for Graph Problems and Scheduling

Receipt and verification

First computed	2026-05-18T04:25:48.501270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fbab4fbbac2c8855a47882b4db9c2ed4eb9999bfe832186dfa8fba11c649e2

Aliases

arxiv: 1103.4870 · arxiv_version: 1103.4870v1 · doi: 10.48550/arxiv.1103.4870 · pith_short_12: SX52WT53VQWI · pith_short_16: SX52WT53VQWIQVNE · pith_short_8: SX52WT53

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/SX52WT53VQWIQVNEPCBLJW44F3 \
  | 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: 95fbab4fbbac2c8855a47882b4db9c2ed4eb9999bfe832186dfa8fba11c649e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22ba3a2476f74fee90cec4170feed823d54c33be651fd8398a4a527e434d46d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-24T20:19:43Z",
    "title_canon_sha256": "bcebbe97fa68525fbf42bf6d9ad3aa53d7fb10eb4f5cce90fb8a2bd8d1febb40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4870",
    "kind": "arxiv",
    "version": 1
  }
}