Pith Number

pith:QXRWVHQA

pith:2025:QXRWVHQAEEIWQNQGK7RTOS6JIP

not attested not anchored not stored refs pending

Pinched Arnol'd tongues for Families of circle maps

Philip Boyland

arxiv:2506.02988 v1 · 2025-06-03 · 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{QXRWVHQAEEIWQNQGK7RTOS6JIP}

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	2026-07-05T11:15:12.984489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e36a9e00211168360657e3374bc943eb6be7f7950804762fafc328bcedffc7

Aliases

arxiv: 2506.02988 · arxiv_version: 2506.02988v1 · doi: 10.48550/arxiv.2506.02988 · pith_short_12: QXRWVHQAEEIW · pith_short_16: QXRWVHQAEEIWQNQG · pith_short_8: QXRWVHQA

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/QXRWVHQAEEIWQNQGK7RTOS6JIP \
  | 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: 85e36a9e00211168360657e3374bc943eb6be7f7950804762fafc328bcedffc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a933208470624f1ccd093a76bfab3f5dc73ab19b82698ebcc8cedfed734955bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-03T15:26:10Z",
    "title_canon_sha256": "b32d96f2add01442d16c580d9c4412f1ab6549cb2b6e0793240019621334214c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02988",
    "kind": "arxiv",
    "version": 1
  }
}