Pith Number

pith:QIKPX5PG

pith:2011:QIKPX5PGSZX45NYGOZYMYVOD2W

not attested not anchored not stored refs pending

Order of magnitude time-reversible Markov chains and characterization of clustering processes

Badal Joshi

arxiv:1110.5489 v1 · 2011-10-25 · 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{QIKPX5PGSZX45NYGOZYMYVOD2W}

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	2026-05-18T04:10:22.805926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8214fbf5e6966fceb7067670cc55c3d596eae2514aad27575658b31999306ebe

Aliases

arxiv: 1110.5489 · arxiv_version: 1110.5489v1 · doi: 10.48550/arxiv.1110.5489 · pith_short_12: QIKPX5PGSZX4 · pith_short_16: QIKPX5PGSZX45NYG · pith_short_8: QIKPX5PG

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/QIKPX5PGSZX45NYGOZYMYVOD2W \
  | 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: 8214fbf5e6966fceb7067670cc55c3d596eae2514aad27575658b31999306ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9329befed4d7734a67e742e034ff2ca2de15bd2846a8c481ad9688da2144d062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-25T13:07:28Z",
    "title_canon_sha256": "9d32377505d5157c8fb21ed1ce783f96f59a6da80ff81915a8c013314586be85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5489",
    "kind": "arxiv",
    "version": 1
  }
}