Pith Number

pith:GZIWXWHK

pith:1992:GZIWXWHKRXZI67Y45Z6WLR3VGN

not attested not anchored not stored refs pending

Scalings in circle maps III

Folkert Tangerman, Grzegorz Swiatek, Jacek Graczyk, J. J. P. Veerman

arxiv:math/9202209 v1 · 1992-02-03 · 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{GZIWXWHKRXZI67Y45Z6WLR3VGN}

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	2026-05-18T01:05:52.987603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36516bd8ea8df28f7f1cee7d65c775337c9d79c136f2d385b101833eebcaef1e

Aliases

arxiv: math/9202209 · arxiv_version: math/9202209v1 · doi: 10.48550/arxiv.math/9202209 · pith_short_12: GZIWXWHKRXZI · pith_short_16: GZIWXWHKRXZI67Y4 · pith_short_8: GZIWXWHK

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/GZIWXWHKRXZI67Y45Z6WLR3VGN \
  | 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: 36516bd8ea8df28f7f1cee7d65c775337c9d79c136f2d385b101833eebcaef1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e9b740403e2da70f49c0b5167a36940ebbf05bf846107793a3273f276080cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1992-02-03T00:00:00Z",
    "title_canon_sha256": "ed8f3a893fed76c97a599ec0ab7401f5d6912665bd801b44b5658513cc15c04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9202209",
    "kind": "arxiv",
    "version": 1
  }
}