Pith Number

pith:ITVQUWGM

pith:1991:ITVQUWGMAPADG7QMESD4BJWA6L

not attested not anchored not stored refs pending

Critical circle maps near bifurcation

Grzegorz Swiatek, Jacek Graczyk

arxiv:math/9201283 v1 · 1991-04-27 · 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{ITVQUWGMAPADG7QMESD4BJWA6L}

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	2026-05-18T01:05:54.553700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eb0a58cc03c0337e0c2487c0a6c0f2eaa1dce0194eec8faa4e2cd93f79900e

Aliases

arxiv: math/9201283 · arxiv_version: math/9201283v1 · doi: 10.48550/arxiv.math/9201283 · pith_short_12: ITVQUWGMAPAD · pith_short_16: ITVQUWGMAPADG7QM · pith_short_8: ITVQUWGM

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/ITVQUWGMAPADG7QMESD4BJWA6L \
  | 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: 44eb0a58cc03c0337e0c2487c0a6c0f2eaa1dce0194eec8faa4e2cd93f79900e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc3434e7ca110cf8a18facf0cda8e302b688ceb955f7032bc409f006eeda349",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1991-04-27T00:00:00Z",
    "title_canon_sha256": "48c2150384554cce370d4b430b67d7656e44b60e9a9f1eafc3448d63dc6a7ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201283",
    "kind": "arxiv",
    "version": 1
  }
}