Pith Number

pith:BEDARKV7

pith:2011:BEDARKV7WMNE26KMOKJVWY5ASQ

not attested not anchored not stored refs pending

Circle diffeomorphisms forced by expanding circle maps

Ale Jan Homburg

arxiv:1108.1093 v1 · 2011-08-04 · 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{BEDARKV7WMNE26KMOKJVWY5ASQ}

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	2026-05-18T04:16:12.693807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090608aabfb31a4d794c72935b63a0942e1e3a380d4db2143049bd9e268fb515

Aliases

arxiv: 1108.1093 · arxiv_version: 1108.1093v1 · doi: 10.48550/arxiv.1108.1093 · pith_short_12: BEDARKV7WMNE · pith_short_16: BEDARKV7WMNE26KM · pith_short_8: BEDARKV7

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/BEDARKV7WMNE26KMOKJVWY5ASQ \
  | 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: 090608aabfb31a4d794c72935b63a0942e1e3a380d4db2143049bd9e268fb515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d718329a2589c81d6095c1e4488434a9d77c50ddcbae9659fabe1914b2179864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-04T13:55:18Z",
    "title_canon_sha256": "006049c507c9f7b123dd9efe8f1af671f020e0f579a5ab1b26cdedec23ef3907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1093",
    "kind": "arxiv",
    "version": 1
  }
}