Pith Number

pith:ZYTJBKKG

pith:2015:ZYTJBKKG5O5Z2IW5ICS2EUNNJ4

not attested not anchored not stored refs pending

A Remark on Unique Ergodicity and the Contact Type Condition

Cesar J. Niche, Viktor L. Ginzburg

arxiv:1507.03147 v1 · 2015-07-11 · math.SG · 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{ZYTJBKKG5O5Z2IW5ICS2EUNNJ4}

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	2026-05-18T01:36:59.560159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2690a946ebbb9d22dd40a5a251ad4f14962cb7c40a80936da7d3f4f2076f4c

Aliases

arxiv: 1507.03147 · arxiv_version: 1507.03147v1 · doi: 10.48550/arxiv.1507.03147 · pith_short_12: ZYTJBKKG5O5Z · pith_short_16: ZYTJBKKG5O5Z2IW5 · pith_short_8: ZYTJBKKG

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/ZYTJBKKG5O5Z2IW5ICS2EUNNJ4 \
  | 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: ce2690a946ebbb9d22dd40a5a251ad4f14962cb7c40a80936da7d3f4f2076f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975f30ef590cb39dc15d13d9f97cb1c0a55178af13295e2b4b1aabcbbe93dc88",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-11T20:06:27Z",
    "title_canon_sha256": "7c5617aaa0a02114b0d13322120a625e1cd56aa8d632963aac7a3b536caa020a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03147",
    "kind": "arxiv",
    "version": 1
  }
}