Pith Number

pith:5Q5NE67E

pith:2012:5Q5NE67E5WCKTODSRC43NXMNHR

not attested not anchored not stored refs pending

Spectral property of Cantor measures with consecutive digits

Chun-kit Lai, Xing-Gang He, Xin-Rong Dai

arxiv:1209.4386 v1 · 2012-09-19 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q5NE67E5WCKTODSRC43NXMNHR}

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	2026-05-18T03:12:22.498197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3ad27be4ed84a9b87288b9b6dd8d3c6961bec3158a091f0c837d275158360d

Aliases

arxiv: 1209.4386 · arxiv_version: 1209.4386v1 · doi: 10.48550/arxiv.1209.4386 · pith_short_12: 5Q5NE67E5WCK · pith_short_16: 5Q5NE67E5WCKTODS · pith_short_8: 5Q5NE67E

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/5Q5NE67E5WCKTODSRC43NXMNHR \
  | 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: ec3ad27be4ed84a9b87288b9b6dd8d3c6961bec3158a091f0c837d275158360d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068f7461b567b83ffd1af7760d9015ccf42e26589174929c0b81e28cb3a43ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-19T23:26:01Z",
    "title_canon_sha256": "fe5268b71d5011cc4779a6d82a729988e092a27fb4fe1ab0a447a1768a1c2b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4386",
    "kind": "arxiv",
    "version": 1
  }
}