Pith Number

pith:ZXCPFWSP

pith:2012:ZXCPFWSPGP5GDFSHADLPB4BG47

not attested not anchored not stored refs pending

Multifractal analysis of superprocesses with stable branching in dimension one

Leonid Mytnik, Vitali Wachtel

arxiv:1212.0340 v2 · 2012-12-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXCPFWSPGP5GDFSHADLPB4BG47}

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	2026-05-18T01:26:50.683654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc4f2da4f33fa61964700d6f0f026e7ca5bc8d6610bde5587fa89d2d344d562

Aliases

arxiv: 1212.0340 · arxiv_version: 1212.0340v2 · doi: 10.48550/arxiv.1212.0340 · pith_short_12: ZXCPFWSPGP5G · pith_short_16: ZXCPFWSPGP5GDFSH · pith_short_8: ZXCPFWSP

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/ZXCPFWSPGP5GDFSHADLPB4BG47 \
  | 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: cdc4f2da4f33fa61964700d6f0f026e7ca5bc8d6610bde5587fa89d2d344d562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2e10b4c0bf88bb8ac1825b1fc472cc6fad27987eb1866c52850cf735aba14b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-03T10:13:15Z",
    "title_canon_sha256": "b4d972773e838f4fa4905790d54d449ce5444b3ef1b4351ffbc2ca2b02b017a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0340",
    "kind": "arxiv",
    "version": 2
  }
}