Pith Number

pith:EF65TTQC

pith:2014:EF65TTQC5NOZPHPYRH7ZZGIDE3

not attested not anchored not stored refs pending

CLT for random walks of commuting endomorphisms on compact abelian groups

Guy Cohen, Jean-Pierre Conze

arxiv:1411.3540 v1 · 2014-11-13 · 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{EF65TTQC5NOZPHPYRH7ZZGIDE3}

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	2026-05-18T02:37:43.499912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217dd9ce02eb5d979df889ff9c990326c2868931fa7d873000ccb0bcf8d28714

Aliases

arxiv: 1411.3540 · arxiv_version: 1411.3540v1 · doi: 10.48550/arxiv.1411.3540 · pith_short_12: EF65TTQC5NOZ · pith_short_16: EF65TTQC5NOZPHPY · pith_short_8: EF65TTQC

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/EF65TTQC5NOZPHPYRH7ZZGIDE3 \
  | 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: 217dd9ce02eb5d979df889ff9c990326c2868931fa7d873000ccb0bcf8d28714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4580005cf8c38c1a01176c03ba0fe43b221063a8b3cedeb3d4399bd9af182b9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-13T13:39:00Z",
    "title_canon_sha256": "c94feb1b421c9b1d5058ca391554bf4053b73671f82f2c5ea5def3465cf47eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3540",
    "kind": "arxiv",
    "version": 1
  }
}