Pith Number

pith:XC7K5FIV

pith:1995:XC7K5FIVZ2HEO77IVFV7TUE6A6

not attested not anchored not stored refs pending

Complex bounds for critical circle maps

Michael Yampolsky

arxiv:math/9510219 v1 · 1995-10-14 · 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{XC7K5FIVZ2HEO77IVFV7TUE6A6}

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	2026-05-18T01:05:48.175553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8beae9515ce8e477fe8a96bf9d09e0781a5b8b1e391addb3a76bc561f5ee5b7

Aliases

arxiv: math/9510219 · arxiv_version: math/9510219v1 · doi: 10.48550/arxiv.math/9510219 · pith_short_12: XC7K5FIVZ2HE · pith_short_16: XC7K5FIVZ2HEO77I · pith_short_8: XC7K5FIV

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/XC7K5FIVZ2HEO77IVFV7TUE6A6 \
  | 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: b8beae9515ce8e477fe8a96bf9d09e0781a5b8b1e391addb3a76bc561f5ee5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689a2e212b4ca54aade1610ed7d28432773ba584f4766138c4fbf981902ff796",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1995-10-14T00:00:00Z",
    "title_canon_sha256": "0311518438d0e076dc6df72956e77839c0597109cc5541df32c4b49cef2c1399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9510219",
    "kind": "arxiv",
    "version": 1
  }
}