Pith Number

pith:JVNZKPPZ

pith:2012:JVNZKPPZXH3HXPK35FL4IUQXYM

not attested not anchored not stored refs pending

Entropy of random chaotic interval map with noise which causes coarse-graining

Kouji Yano

arxiv:1205.1848 v2 · 2012-05-09 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVNZKPPZXH3HXPK35FL4IUQXYM}

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	2026-05-18T03:52:25.913545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d5b953df9b9f67bbd5be957c45217c30e4aff637d3d33a2714d680bb55f8fd4

Aliases

arxiv: 1205.1848 · arxiv_version: 1205.1848v2 · doi: 10.48550/arxiv.1205.1848 · pith_short_12: JVNZKPPZXH3H · pith_short_16: JVNZKPPZXH3HXPK3 · pith_short_8: JVNZKPPZ

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/JVNZKPPZXH3HXPK35FL4IUQXYM \
  | 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: 4d5b953df9b9f67bbd5be957c45217c30e4aff637d3d33a2714d680bb55f8fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3b2ea286e3b9a025eee1b81f720d1b46dea0075e1f5240fa1d36d4c0c52902",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-09T00:03:58Z",
    "title_canon_sha256": "3c3f6448a8c80aec810573d3960d3aeee50fb6a9a026a08a30cc51ffc57454f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1848",
    "kind": "arxiv",
    "version": 2
  }
}