Pith Number

pith:3EPNDKNA

pith:2007:3EPNDKNAZ6USBGIORXDMIQSHDP

not attested not anchored not stored refs pending

Singular measures of circle homeomorphisms with two break points

Akhtam Dzhalilov, Dieter Mayer, Isabelle Liousse

arxiv:0707.3528 v1 · 2007-07-24 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EPNDKNAZ6USBGIORXDMIQSHDP}

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	2026-05-18T04:35:15.161669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91ed1a9a0cfa920990e8dc6c442471bced01ff02ad5fa4cbefc6964ab3b0d4b

Aliases

arxiv: 0707.3528 · arxiv_version: 0707.3528v1 · doi: 10.48550/arxiv.0707.3528 · pith_short_12: 3EPNDKNAZ6US · pith_short_16: 3EPNDKNAZ6USBGIO · pith_short_8: 3EPNDKNA

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/3EPNDKNAZ6USBGIORXDMIQSHDP \
  | 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: d91ed1a9a0cfa920990e8dc6c442471bced01ff02ad5fa4cbefc6964ab3b0d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f75c0d8a170159eb9be2f6ff8830cab55305272c5ef320cd69d0a6983673f1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-07-24T11:35:06Z",
    "title_canon_sha256": "ef11028a7422d247a779e7595364e556838c8edb12536a3a30fc180b3ae28806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3528",
    "kind": "arxiv",
    "version": 1
  }
}