Pith Number

pith:BVVGLLRE

pith:2015:BVVGLLREJBX2CIW3XWAO3BH46B

not attested not anchored not stored refs pending

Spatial mixing and approximate counting for Potts model on graphs with bounded average degree

Chihao Zhang, Yitong Yin

arxiv:1507.07225 v1 · 2015-07-26 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVVGLLREJBX2CIW3XWAO3BH46B}

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	2026-05-18T01:36:16.861716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d6a65ae24486fa122dbbd80ed84fcf06f0839d9e596cfb0c06618480d1b4c8d

Aliases

arxiv: 1507.07225 · arxiv_version: 1507.07225v1 · doi: 10.48550/arxiv.1507.07225 · pith_short_12: BVVGLLREJBX2 · pith_short_16: BVVGLLREJBX2CIW3 · pith_short_8: BVVGLLRE

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/BVVGLLREJBX2CIW3XWAO3BH46B \
  | 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: 0d6a65ae24486fa122dbbd80ed84fcf06f0839d9e596cfb0c06618480d1b4c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3acc72010b521d0d5121e5734d4667f1f22800bbb93b50337f0cac006d9d0e91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-07-26T17:24:44Z",
    "title_canon_sha256": "2ea3b832a400594d5ff43758e80748ab6dd25bcec32d9f248fd0b0fbac30e413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07225",
    "kind": "arxiv",
    "version": 1
  }
}