Pith Number

pith:2S7CBQU2

pith:2019:2S7CBQU2D6MG43EI3CL26NKFBK

not attested not anchored not stored refs pending

Integrability of moduli and regularity of Denjoy counterexamples

Sang-hyun Kim, Thomas Koberda

arxiv:1908.06568 v4 · 2019-08-19 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2S7CBQU2D6MG43EI3CL26NKFBK}

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	2026-07-05T01:01:00.294325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4be20c29a1f986e6c88d897af35450a8891d8a3173f784b581d08efe0ff49a5

Aliases

arxiv: 1908.06568 · arxiv_version: 1908.06568v4 · doi: 10.48550/arxiv.1908.06568 · pith_short_12: 2S7CBQU2D6MG · pith_short_16: 2S7CBQU2D6MG43EI · pith_short_8: 2S7CBQU2

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/2S7CBQU2D6MG43EI3CL26NKFBK \
  | 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: d4be20c29a1f986e6c88d897af35450a8891d8a3173f784b581d08efe0ff49a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2cea45f8217d5a4942d1ad6fdcd13f3046e8b0399e22315457ac3231532bb17",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-19T02:51:14Z",
    "title_canon_sha256": "e0a26a4c11c4cb1f0d6b35be8f245b7cc6452a5faa4920d84aadebc6a208f9e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06568",
    "kind": "arxiv",
    "version": 4
  }
}