Pith Number

pith:472G6JVN

pith:2016:472G6JVNCMWXD2WDTSN7KCEDB2

not attested not anchored not stored refs pending

Spatial Mixing and Systematic Scan Markov chains

Alistair Sinclair, Antonio Blanca, Eric Vigoda, Pietro Caputo

arxiv:1612.01576 v3 · 2016-12-05 · cs.DM · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{472G6JVNCMWXD2WDTSN7KCEDB2}

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	2026-05-18T00:38:30.738163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f46f26ad132d71eac39c9bf508830eb72f52395c728f8912dfac351e7a27e6

Aliases

arxiv: 1612.01576 · arxiv_version: 1612.01576v3 · doi: 10.48550/arxiv.1612.01576 · pith_short_12: 472G6JVNCMWX · pith_short_16: 472G6JVNCMWXD2WD · pith_short_8: 472G6JVN

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/472G6JVNCMWXD2WDTSN7KCEDB2 \
  | 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: e7f46f26ad132d71eac39c9bf508830eb72f52395c728f8912dfac351e7a27e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed76ae520b1a10bab72f31a0cd2749c0f19d8866be62a231e742e085c224dade",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-12-05T22:22:30Z",
    "title_canon_sha256": "4673edc88176ed9d864e7acf3478ab995369421a33bdb3a74d150fe053f4bb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01576",
    "kind": "arxiv",
    "version": 3
  }
}