Pith Number

pith:57GGAW7H

pith:2014:57GGAW7HZHI422FZRBDQA36Y2P

not attested not anchored not stored refs pending

On Mixing Properties of Reversible Markov Chains

Richard C. Bradley

arxiv:1403.4895 v1 · 2014-03-19 · 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{57GGAW7HZHI422FZRBDQA36Y2P}

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	2026-05-18T02:56:04.250616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efcc605be7c9d1cd68b98847006fd8d3e5818fdb72b62f7098be68ebfdee3184

Aliases

arxiv: 1403.4895 · arxiv_version: 1403.4895v1 · doi: 10.48550/arxiv.1403.4895 · pith_short_12: 57GGAW7HZHI4 · pith_short_16: 57GGAW7HZHI422FZ · pith_short_8: 57GGAW7H

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/57GGAW7HZHI422FZRBDQA36Y2P \
  | 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: efcc605be7c9d1cd68b98847006fd8d3e5818fdb72b62f7098be68ebfdee3184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27bdedaa6691ef1dbce1d19a4037d4e1ec70f814091ab4d72ff122a631ccc032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-19T17:50:51Z",
    "title_canon_sha256": "e7c4a61f2633958c6f76dc3584a83b5c11b416dd8f343694ecb939d05e73d6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4895",
    "kind": "arxiv",
    "version": 1
  }
}