Pith Number

pith:7AHZ35EU

pith:2014:7AHZ35EUFFWDDMHJBKWRW3PORN

not attested not anchored not stored refs pending

Weak invariance principle for the local times of Gibbs-Markov processes

Michael Bromberg

arxiv:1406.4174 v1 · 2014-06-16 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AHZ35EUFFWDDMHJBKWRW3PORN}

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	2026-05-18T02:49:38.247439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80f9df494296c31b0e90aad1b6dee8b414cc38744b9f04ca497abcc7a4c0e3d

Aliases

arxiv: 1406.4174 · arxiv_version: 1406.4174v1 · doi: 10.48550/arxiv.1406.4174 · pith_short_12: 7AHZ35EUFFWD · pith_short_16: 7AHZ35EUFFWDDMHJ · pith_short_8: 7AHZ35EU

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/7AHZ35EUFFWDDMHJBKWRW3PORN \
  | 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: f80f9df494296c31b0e90aad1b6dee8b414cc38744b9f04ca497abcc7a4c0e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59aca7823335a1623de4a16b6d5c7c2e91fb13750d6a5be1a4e19de54c1a9eee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-16T21:19:27Z",
    "title_canon_sha256": "f0b285b17550edc3d1337e59b519f80d20fde77ea9b2d1c1a1cc61018ae64bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4174",
    "kind": "arxiv",
    "version": 1
  }
}