Pith Number

pith:A4TTBUPR

pith:2018:A4TTBUPRF2IMS2TEQL4GWNXOLI

not attested not anchored not stored refs pending

Random walk in cooling random environment: ergodic limits and concentration inequalities

C. da Costa, F. den Hollander, L. Avena, Y. Chino

arxiv:1803.03295 v1 · 2018-03-08 · 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{A4TTBUPRF2IMS2TEQL4GWNXOLI}

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	2026-05-18T00:21:40.073089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072730d1f12e90c96a6482f86b36ee5a02c70b23c75ce2390abd03a2ce4e4202

Aliases

arxiv: 1803.03295 · arxiv_version: 1803.03295v1 · doi: 10.48550/arxiv.1803.03295 · pith_short_12: A4TTBUPRF2IM · pith_short_16: A4TTBUPRF2IMS2TE · pith_short_8: A4TTBUPR

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/A4TTBUPRF2IMS2TEQL4GWNXOLI \
  | 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: 072730d1f12e90c96a6482f86b36ee5a02c70b23c75ce2390abd03a2ce4e4202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff8d5641ebe96a612c1c3d8ed5048325c175dea56914ac3d4616c40fcaf72c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-08T20:35:57Z",
    "title_canon_sha256": "19093d5fcfe4487034de87135866ecb4bf36bb47d0c97583f8e10ad6cf7dfef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03295",
    "kind": "arxiv",
    "version": 1
  }
}