Pith Number

pith:I5BKTJSL

pith:2008:I5BKTJSLIP3JEKZ7ABIUFL55EG

not attested not anchored not stored refs pending

Optimal local H\"{o}lder index for density states of superprocesses with $(1+\beta)$-branching mechanism

Klaus Fleischmann, Leonid Mytnik, Vitali Wachtel

arxiv:0805.3914 v4 · 2008-05-26 · 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{I5BKTJSLIP3JEKZ7ABIUFL55EG}

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	2026-05-18T04:39:28.979619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4742a9a64b43f6922b3f005142afbd21ac06ef6cbcb5323c4f8b87ee39213912

Aliases

arxiv: 0805.3914 · arxiv_version: 0805.3914v4 · doi: 10.48550/arxiv.0805.3914 · pith_short_12: I5BKTJSLIP3J · pith_short_16: I5BKTJSLIP3JEKZ7 · pith_short_8: I5BKTJSL

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/I5BKTJSLIP3JEKZ7ABIUFL55EG \
  | 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: 4742a9a64b43f6922b3f005142afbd21ac06ef6cbcb5323c4f8b87ee39213912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7170ca969a6c5cd3cf694493dea22b6c04de88be07ef90396b8f5accc85e35f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-26T10:44:07Z",
    "title_canon_sha256": "46b3ce7bf4258d3edab140bcb2c8d3f2a61d1eb5e69224c98a928d3b0ca6e82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3914",
    "kind": "arxiv",
    "version": 4
  }
}