Pith Number

pith:G5LBWCTQ

pith:2014:G5LBWCTQDPSZKINZ66QYQ3J4CM

not attested not anchored not stored refs pending

A Denjoy counterexample for circle maps with an half-critical point

Liviana Palmisano

arxiv:1401.7863 v2 · 2014-01-30 · 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{G5LBWCTQDPSZKINZ66QYQ3J4CM}

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	2026-05-18T00:16:15.045728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37561b0a701be59521b9f7a1886d3c1329eb548295eca64d5d9f14987ec9e0fc

Aliases

arxiv: 1401.7863 · arxiv_version: 1401.7863v2 · doi: 10.48550/arxiv.1401.7863 · pith_short_12: G5LBWCTQDPSZ · pith_short_16: G5LBWCTQDPSZKINZ · pith_short_8: G5LBWCTQ

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/G5LBWCTQDPSZKINZ66QYQ3J4CM \
  | 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: 37561b0a701be59521b9f7a1886d3c1329eb548295eca64d5d9f14987ec9e0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0a3982b1e79cae225ea58adeabaac8457e1be661e0e3fb15ef00c51ebb69bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-30T14:39:20Z",
    "title_canon_sha256": "6f15ee616d73461846e8bb30886a46b82273256ebfbdbee7fc790e1be354cdb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7863",
    "kind": "arxiv",
    "version": 2
  }
}