Pith Number

pith:R5NRSCIH

pith:2007:R5NRSCIHM74UZ3MT22VX7AUQDR

not attested not anchored not stored refs pending

A Spectral Approach to Analyzing Belief Propagation for 3-Coloring

Amin Coja-Oghlan, Dan Vilenchik, Elchanan Mossel

arxiv:0712.0171 v1 · 2007-12-02 · cs.CC · cs.AI · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5NRSCIHM74UZ3MT22VX7AUQDR}

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	2026-05-18T00:30:29.112623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5b19090767f94ced93d6ab7f82901c632739d87a91531e3b8071b922785a77

Aliases

arxiv: 0712.0171 · arxiv_version: 0712.0171v1 · doi: 10.48550/arxiv.0712.0171 · pith_short_12: R5NRSCIHM74U · pith_short_16: R5NRSCIHM74UZ3MT · pith_short_8: R5NRSCIH

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/R5NRSCIHM74UZ3MT22VX7AUQDR \
  | 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: 8f5b19090767f94ced93d6ab7f82901c632739d87a91531e3b8071b922785a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ff9356acf6904d454f8146746f47261d443343d7544dc9cb003a8aae1fb8b9",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-12-02T19:34:59Z",
    "title_canon_sha256": "5b4a2d6ed68b775a9bd4a41d8511a73a7ac038b8867e604ebbab870de210e2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0171",
    "kind": "arxiv",
    "version": 1
  }
}