Pith Number

pith:KY3Z26Q7

pith:2017:KY3Z26Q7ZI7SX3SGGASOCDLSDI

not attested not anchored not stored refs pending

Sampling Random Colorings of Sparse Random Graphs

Charilaos Efthymiou, Daniel Stefankovic, Eric Vigoda, Thomas P. Hayes

arxiv:1707.03796 v1 · 2017-07-12 · 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{KY3Z26Q7ZI7SX3SGGASOCDLSDI}

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	2026-05-18T00:40:24.785578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56379d7a1fca3f2bee463024e10d721a0333bee1b7d207c0a650ddb6947d8f10

Aliases

arxiv: 1707.03796 · arxiv_version: 1707.03796v1 · doi: 10.48550/arxiv.1707.03796 · pith_short_12: KY3Z26Q7ZI7S · pith_short_16: KY3Z26Q7ZI7SX3SG · pith_short_8: KY3Z26Q7

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/KY3Z26Q7ZI7SX3SGGASOCDLSDI \
  | 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: 56379d7a1fca3f2bee463024e10d721a0333bee1b7d207c0a650ddb6947d8f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6cdcc0ca0ada1aecd75d03217c274c0aa5c8efdccb4b17048d3fbd8931d546",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-12T16:49:21Z",
    "title_canon_sha256": "4450ab502df326502eb7dcf005454d60597a598b72ada368474416f830fc3b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03796",
    "kind": "arxiv",
    "version": 1
  }
}