Pith Number

pith:25QUNQNA

pith:2026:25QUNQNAKXEQX2ZBUQWRMMIOMV

not attested not anchored not stored refs pending

Effective intrinsic ergodicity for expanding interval maps

Mark Pollicott

arxiv:2606.12081 v1 · 2026-06-10 · 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{25QUNQNAKXEQX2ZBUQWRMMIOMV}

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	2026-06-11T01:10:47.143042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76146c1a055c90beb21a42d16310e6578186c6e3991632b66b5661e7a02546f

Aliases

arxiv: 2606.12081 · arxiv_version: 2606.12081v1 · doi: 10.48550/arxiv.2606.12081 · pith_short_12: 25QUNQNAKXEQ · pith_short_16: 25QUNQNAKXEQX2ZB · pith_short_8: 25QUNQNA

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/25QUNQNAKXEQX2ZBUQWRMMIOMV \
  | 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: d76146c1a055c90beb21a42d16310e6578186c6e3991632b66b5661e7a02546f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d992ba0fcbf376c49e6bf9740e85d28ad140e028eace5adc62a7bc82bbe7ad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-10T13:46:18Z",
    "title_canon_sha256": "1adfefaa72ee55e046a643989d36b94adc82ed196ed5441ae35cb03d3a5663e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12081",
    "kind": "arxiv",
    "version": 1
  }
}