Pith Number

pith:ML4KLX53

pith:2007:ML4KLX53YACSOQFMSJYYSFEWDL

not attested not anchored not stored refs pending

Rotation set and Entropy

Audrey Larcanch\'e, Heber Enrich, Isabelle Liousse, Nancy Guelman

arxiv:0711.4728 v2 · 2007-11-29 · 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{ML4KLX53YACSOQFMSJYYSFEWDL}

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	2026-05-18T02:16:08.966506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f8a5dfbbc0052740ac92718914961afdabac71150ac60b54f93133b0dc6271

Aliases

arxiv: 0711.4728 · arxiv_version: 0711.4728v2 · doi: 10.48550/arxiv.0711.4728 · pith_short_12: ML4KLX53YACS · pith_short_16: ML4KLX53YACSOQFM · pith_short_8: ML4KLX53

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/ML4KLX53YACSOQFMSJYYSFEWDL \
  | 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: 62f8a5dfbbc0052740ac92718914961afdabac71150ac60b54f93133b0dc6271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2380197093c50764f1278055936f6ea8eed9225923d32d884edebefdfebaa0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-29T14:20:52Z",
    "title_canon_sha256": "970fe83b624d7dc2cca625273d3668d4241be5c8bb1bc3ece29f035995c1c38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4728",
    "kind": "arxiv",
    "version": 2
  }
}