Pith Number

pith:ID6GOK32

pith:2025:ID6GOK32HCB74DUBJYHHZZIIPZ

not attested not anchored not stored refs pending

The Legacy of the Cartwright-Littlewood Collaboration

John Guckenheimer

arxiv:2506.06889 v1 · 2025-06-07 · 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{ID6GOK32HCB74DUBJYHHZZIIPZ}

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	2026-07-05T11:17:57.608837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fc672b7a3883fe0e814e0e7ce5087e4ca003d114983282b7d746222aabdcea

Aliases

arxiv: 2506.06889 · arxiv_version: 2506.06889v1 · doi: 10.48550/arxiv.2506.06889 · pith_short_12: ID6GOK32HCB7 · pith_short_16: ID6GOK32HCB74DUB · pith_short_8: ID6GOK32

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/ID6GOK32HCB74DUBJYHHZZIIPZ \
  | 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: 40fc672b7a3883fe0e814e0e7ce5087e4ca003d114983282b7d746222aabdcea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd929cfb6cdc4c501b4c29439726159ca2ffa5f673ac584b87c8b0e44761513",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-07T18:32:01Z",
    "title_canon_sha256": "981ccef426d95985a868123b8990d86486c15a7ede00030b53682baa9db1fc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06889",
    "kind": "arxiv",
    "version": 1
  }
}