Pith Number

pith:56QDU6AA

pith:2013:56QDU6AADDAKUIXJ2JWDIG6QWP

not attested not anchored not stored refs pending

A decomposition based proof for fast mixing of a Markov chain over balanced realizations of a joint degree matrix

Istv\'an Mikl\'os, P\'eter L. Erd\H{o}s, Zolt\'an Toroczkai

arxiv:1307.5295 v2 · 2013-07-19 · 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{56QDU6AADDAKUIXJ2JWDIG6QWP}

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	2026-05-18T01:37:02.610734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa03a780018c0aa22e9d26c341bd0b3f280ed0c5b1343e179abf744f3e4dd33

Aliases

arxiv: 1307.5295 · arxiv_version: 1307.5295v2 · doi: 10.48550/arxiv.1307.5295 · pith_short_12: 56QDU6AADDAK · pith_short_16: 56QDU6AADDAKUIXJ · pith_short_8: 56QDU6AA

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/56QDU6AADDAKUIXJ2JWDIG6QWP \
  | 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: efa03a780018c0aa22e9d26c341bd0b3f280ed0c5b1343e179abf744f3e4dd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249b62d7a0ab6b02c630babe9a24f2c44c5b62a66248de4376cc1e55c232d46e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-19T17:50:23Z",
    "title_canon_sha256": "983112dc1a6d388450b460f91b51b667a359db982e01a38b62774ed452972f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5295",
    "kind": "arxiv",
    "version": 2
  }
}