Pith Number

pith:P4MS5QO5

pith:2014:P4MS5QO5ZS72CZYT5VBH7UDNCJ

not attested not anchored not stored refs pending

There exists an interval exchange with a non-ergodic generic measure

Howard Masur, Jon Chaika

arxiv:1410.1576 v2 · 2014-10-06 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4MS5QO5ZS72CZYT5VBH7UDNCJ}

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	2026-05-18T02:38:36.496531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f192ec1ddccbfa16713ed427fd06d126c1ef9a40f220dd86702a035cdb4dfcc

Aliases

arxiv: 1410.1576 · arxiv_version: 1410.1576v2 · doi: 10.48550/arxiv.1410.1576 · pith_short_12: P4MS5QO5ZS72 · pith_short_16: P4MS5QO5ZS72CZYT · pith_short_8: P4MS5QO5

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/P4MS5QO5ZS72CZYT5VBH7UDNCJ \
  | 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: 7f192ec1ddccbfa16713ed427fd06d126c1ef9a40f220dd86702a035cdb4dfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67489d603406e29537a7fe72c609500bd874c7f585f348e376471cd6e4be6470",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-06T22:01:22Z",
    "title_canon_sha256": "3ba9d9e0d6abf047ced8cc0f815e78c936b1645d084696c061972ef06510f6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1576",
    "kind": "arxiv",
    "version": 2
  }
}