Pith Number

pith:PWI7CQ2K

pith:2017:PWI7CQ2K7WMK7YBDTN27ZVTQJI

not attested not anchored not stored refs pending

Fluctuations of the Empirical Measure of Freezing Markov Chains

Bertrand Cloez, Florian Bouguet

arxiv:1705.02121 v1 · 2017-05-05 · 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{PWI7CQ2K7WMK7YBDTN27ZVTQJI}

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	2026-05-18T00:45:00.592794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d91f1434afd98afe0239b75fcd6704a38b24fd5ce485ebdfd71006d1963d99e

Aliases

arxiv: 1705.02121 · arxiv_version: 1705.02121v1 · doi: 10.48550/arxiv.1705.02121 · pith_short_12: PWI7CQ2K7WMK · pith_short_16: PWI7CQ2K7WMK7YBD · pith_short_8: PWI7CQ2K

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/PWI7CQ2K7WMK7YBDTN27ZVTQJI \
  | 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: 7d91f1434afd98afe0239b75fcd6704a38b24fd5ce485ebdfd71006d1963d99e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259c78835c87291b017002db1705e9754041e52e2ab2037d6d91e3444d47d355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-05T08:19:09Z",
    "title_canon_sha256": "eb1d426300ed95a2d34311b6126d9d5a7ec0c78f34dc00e97521c0f0bcd0cc26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02121",
    "kind": "arxiv",
    "version": 1
  }
}