Pith Number

pith:VOJ3DBMN

pith:2015:VOJ3DBMNEF4E5O7MCAGSQ5QYES

not attested not anchored not stored refs pending

Application of $p$-adic analysis methods in describing Markov processes on ultrametric spaces isometrically embeddable into $\mathbb{Q}_{p}$

A.Kh. Bikulov, A.P. Zubarev

arxiv:1504.03629 v1 · 2015-04-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOJ3DBMNEF4E5O7MCAGSQ5QYES}

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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	2026-05-18T02:18:50.332175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab93b1858d21784ebbec100d2876182481f039921a9d04b9d3334a6e7d73f810

Aliases

arxiv: 1504.03629 · arxiv_version: 1504.03629v1 · doi: 10.48550/arxiv.1504.03629 · pith_short_12: VOJ3DBMNEF4E · pith_short_16: VOJ3DBMNEF4E5O7M · pith_short_8: VOJ3DBMN

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/VOJ3DBMNEF4E5O7MCAGSQ5QYES \
  | 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: ab93b1858d21784ebbec100d2876182481f039921a9d04b9d3334a6e7d73f810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24d68c5d03d2106863415452ccc522087c31be6c5be8f5f8a94fecfb5ac2233b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-14T17:12:48Z",
    "title_canon_sha256": "4e4e0301e0481ab68c02c26aee4a9d485146d13a9dae217e6bf6733d65e1668b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03629",
    "kind": "arxiv",
    "version": 1
  }
}