Pith Number

pith:M6FF7HSU

pith:2013:M6FF7HSUIKZPUHXMELJN773NIO

not attested not anchored not stored refs pending

Structure and eigenvalues of heat-bath Markov chains

Catherine Greenhill, Mario Ullrich, Martin Dyer

arxiv:1301.4055 v3 · 2013-01-17 · math.CO · 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{M6FF7HSUIKZPUHXMELJN773NIO}

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	2026-05-18T02:51:57.186236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678a5f9e5442b2fa1eec22d2dfff6d439021f09a06974035067c2699873fd9f4

Aliases

arxiv: 1301.4055 · arxiv_version: 1301.4055v3 · doi: 10.48550/arxiv.1301.4055 · pith_short_12: M6FF7HSUIKZP · pith_short_16: M6FF7HSUIKZPUHXM · pith_short_8: M6FF7HSU

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/M6FF7HSUIKZPUHXMELJN773NIO \
  | 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: 678a5f9e5442b2fa1eec22d2dfff6d439021f09a06974035067c2699873fd9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db9476da2a6aa2136f16047590c13c2430263324bd0c1ae96385fde078bef27",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-17T11:39:47Z",
    "title_canon_sha256": "84c02766fc224b70a713beb108f7d39675ffbc0946762bd02be6d87f122c9829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4055",
    "kind": "arxiv",
    "version": 3
  }
}