Pith Number

pith:F4ZF4K7J

pith:2005:F4ZF4K7JES3NUOPKYJQ6UH4Y2P

not attested not anchored not stored refs pending

Entropy of semiclassical measures of the Walsh-quantized baker's map

Nalini Anantharaman (UMPA-ENSL), St\'ephane Nonnenmacher (SPhT)

arxiv:math-ph/0512052 v3 · 2005-12-15 · math-ph · math.DS · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4ZF4K7JES3NUOPKYJQ6UH4Y2P}

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	2026-05-18T01:08:51.727193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f325e2be924b6da39eac261ea1f98d3ebfa89e6882c86026fe73dc7af1fc0a4

Aliases

arxiv: math-ph/0512052 · arxiv_version: math-ph/0512052v3 · doi: 10.48550/arxiv.math-ph/0512052 · pith_short_12: F4ZF4K7JES3N · pith_short_16: F4ZF4K7JES3NUOPK · pith_short_8: F4ZF4K7J

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/F4ZF4K7JES3NUOPKYJQ6UH4Y2P \
  | 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: 2f325e2be924b6da39eac261ea1f98d3ebfa89e6882c86026fe73dc7af1fc0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3607963d4a583fe7cfa36724ab8764d62abf9f85c2031e8ac9b55fcce00b6cf",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-12-15T16:57:41Z",
    "title_canon_sha256": "cdf99a290e97c771562d0fb3a6ca680ca24e7b04b3c03e903c096f212ba6f28f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0512052",
    "kind": "arxiv",
    "version": 3
  }
}