Pith Number

pith:32TKXI35

pith:2025:32TKXI35I2VSPI6QQSFJUAND4L

not attested not anchored not stored refs pending

Existence of a Non-Uniquely Ergodic Interval Exchange Transformation with Flips Possessing Three Invariant Measures

Aleksei Kobzev

arxiv:2512.15625 v4 · 2025-12-17 · 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{32TKXI35I2VSPI6QQSFJUAND4L}

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	2026-05-20T02:05:39.036585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea6aba37d46ab27a3d0848a9a01a3e2cc51d4cc63a6373055c68721720ef2ac

Aliases

arxiv: 2512.15625 · arxiv_version: 2512.15625v4 · doi: 10.48550/arxiv.2512.15625 · pith_short_12: 32TKXI35I2VS · pith_short_16: 32TKXI35I2VSPI6Q · pith_short_8: 32TKXI35

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/32TKXI35I2VSPI6QQSFJUAND4L \
  | 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: dea6aba37d46ab27a3d0848a9a01a3e2cc51d4cc63a6373055c68721720ef2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582f86754411677e907e02b3560199035f0a95d3f81facfe2c753ee6bf0886a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-12-17T17:34:15Z",
    "title_canon_sha256": "ec95a4f2d790aa48009efe49ef73e3fa24d6e0536f56e734bf1007370e5f4132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15625",
    "kind": "arxiv",
    "version": 4
  }
}