Pith Number

pith:EIT3K7UP

pith:2013:EIT3K7UPCBKAASZV2PVINHGHHI

not attested not anchored not stored refs pending

On limit periodicity of discrete time stochastic processes

Alexandra Rodkina, John Appleby, Nikolai Dokuchaev

arxiv:1308.0872 v2 · 2013-08-05 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIT3K7UPCBKAASZV2PVINHGHHI}

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	2026-05-18T03:14:38.799336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2227b57e8f1054004b35d3ea869cc73a295ca2590e4d2b903c118d88a91eaa79

Aliases

arxiv: 1308.0872 · arxiv_version: 1308.0872v2 · doi: 10.48550/arxiv.1308.0872 · pith_short_12: EIT3K7UPCBKA · pith_short_16: EIT3K7UPCBKAASZV · pith_short_8: EIT3K7UP

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/EIT3K7UPCBKAASZV2PVINHGHHI \
  | 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: 2227b57e8f1054004b35d3ea869cc73a295ca2590e4d2b903c118d88a91eaa79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670930397eef663b2ff086982c1a3adf8aff7c7dadb80be6820d8417b6e3e650",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-05T02:19:44Z",
    "title_canon_sha256": "ccc62b374fe5b7f6d475f17e654082d491d71a2c5fd1ca541e873c5114b4acfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0872",
    "kind": "arxiv",
    "version": 2
  }
}