Pith Number

pith:VTCTMV4G

pith:2015:VTCTMV4GV27636BN72CELI7CG4

not attested not anchored not stored refs pending

Some recent developments in quantization of fractal measures

Marc Kesseb\"ohmer, Sanguo Zhu

arxiv:1501.04814 v1 · 2015-01-20 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTCTMV4GV27636BN72CELI7CG4}

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	2026-05-18T00:33:32.892109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc5365786aebfedf82dfe8445a3e2373a79bd5155fd30cb8b5578c391cd2f6d

Aliases

arxiv: 1501.04814 · arxiv_version: 1501.04814v1 · doi: 10.48550/arxiv.1501.04814 · pith_short_12: VTCTMV4GV276 · pith_short_16: VTCTMV4GV27636BN · pith_short_8: VTCTMV4G

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/VTCTMV4GV27636BN72CELI7CG4 \
  | 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: acc5365786aebfedf82dfe8445a3e2373a79bd5155fd30cb8b5578c391cd2f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15d0ca34d53db924ab8086929404d4ae5ef5e4bfa66f035589c0d705352afbe",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-20T14:01:53Z",
    "title_canon_sha256": "405a9eaf6e19fe86d0a8443860912474cabc58db573e1f700d07484947cbfd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04814",
    "kind": "arxiv",
    "version": 1
  }
}