Pith Number

pith:Q7AZVTMW

pith:2015:Q7AZVTMWUROKWWVGT5TWTI7BIS

not attested not anchored not stored refs pending

Segregating Markov chains

Anders Martinsson, Timo Hirscher

arxiv:1510.03661 v2 · 2015-10-13 · 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{Q7AZVTMWUROKWWVGT5TWTI7BIS}

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	2026-05-18T00:50:52.439366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c19acd96a45cab5aa69f6769a3e144802451a39e71f8d81fef245b5b1cc1dd

Aliases

arxiv: 1510.03661 · arxiv_version: 1510.03661v2 · doi: 10.48550/arxiv.1510.03661 · pith_short_12: Q7AZVTMWUROK · pith_short_16: Q7AZVTMWUROKWWVG · pith_short_8: Q7AZVTMW

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/Q7AZVTMWUROKWWVGT5TWTI7BIS \
  | 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: 87c19acd96a45cab5aa69f6769a3e144802451a39e71f8d81fef245b5b1cc1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aadceb3440da080a4e6950eb6b0df6c3e018d1d69288826dcf88db6812857e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-13T13:22:10Z",
    "title_canon_sha256": "f1afcaf28bff42ad28ff645b1c45faa6f676a2744ab6d3ff7dcfad09714af1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03661",
    "kind": "arxiv",
    "version": 2
  }
}