Pith Number

pith:UNYXY575

pith:2013:UNYXY575JB4IVXJKFSMJZ3J5G6

not attested not anchored not stored refs pending

Criteria of ergodicity for $p$-adic dynamical systems in terms of coordinate functions

Andrei Khrennikov, Ekaterina Yurova

arxiv:1303.6472 v1 · 2013-03-23 · math.DS · math.NT · 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{UNYXY575JB4IVXJKFSMJZ3J5G6}

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	2026-05-18T01:50:52.609685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3717c77fd48788add2a2c989ced3d37acf5fa3528c1cf83e9fc4ce0614cde90

Aliases

arxiv: 1303.6472 · arxiv_version: 1303.6472v1 · doi: 10.48550/arxiv.1303.6472 · pith_short_12: UNYXY575JB4I · pith_short_16: UNYXY575JB4IVXJK · pith_short_8: UNYXY575

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/UNYXY575JB4IVXJKFSMJZ3J5G6 \
  | 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: a3717c77fd48788add2a2c989ced3d37acf5fa3528c1cf83e9fc4ce0614cde90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9450b9129c7c8afffa3a75dc74e0b6b4abee7485f35d225df6466959f34791",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-23T13:48:08Z",
    "title_canon_sha256": "4a591cca605450b58e469d333a9c3cf497019b6fa1ab30e50a1b2c07220d5ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6472",
    "kind": "arxiv",
    "version": 1
  }
}