Pith Number

pith:R4QECXJ3

pith:2012:R4QECXJ33CXRDBMU6CUO4S7DOQ

not attested not anchored not stored refs pending

Multifractal analysis for historic set in topological dynamical systems

Ercai Chen, Xiaoyao Zhou

arxiv:1212.4337 v1 · 2012-12-18 · 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{R4QECXJ33CXRDBMU6CUO4S7DOQ}

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	2026-05-18T01:52:30.998790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f20415d3bd8af118594f0a8ee4be37407f155b5bf813546546ceabf562e85af

Aliases

arxiv: 1212.4337 · arxiv_version: 1212.4337v1 · doi: 10.48550/arxiv.1212.4337 · pith_short_12: R4QECXJ33CXR · pith_short_16: R4QECXJ33CXRDBMU · pith_short_8: R4QECXJ3

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/R4QECXJ33CXRDBMU6CUO4S7DOQ \
  | 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: 8f20415d3bd8af118594f0a8ee4be37407f155b5bf813546546ceabf562e85af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92087223169e75c3dff43f81ef1396396df0de09f6e3785317a496307e7874d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-18T13:10:55Z",
    "title_canon_sha256": "efc9cfc4c1e23755592ffbdb94cd4ee17fc8feddd5947565805e21b86ce31c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4337",
    "kind": "arxiv",
    "version": 1
  }
}