Pith Number

pith:IFJWFXPM

pith:2015:IFJWFXPM4JTOVYZ7QREMPT2GGC

not attested not anchored not stored refs pending

Critical Branching Brownian Motion with Killing

Bowei Zheng, Steven P. Lalley

arxiv:1507.02345 v2 · 2015-07-09 · 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{IFJWFXPM4JTOVYZ7QREMPT2GGC}

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	2026-05-18T01:35:29.586005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415362ddece266eae33f8448c7cf463092f869b930c702a4613bbcfde4fd7a38

Aliases

arxiv: 1507.02345 · arxiv_version: 1507.02345v2 · doi: 10.48550/arxiv.1507.02345 · pith_short_12: IFJWFXPM4JTO · pith_short_16: IFJWFXPM4JTOVYZ7 · pith_short_8: IFJWFXPM

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/IFJWFXPM4JTOVYZ7QREMPT2GGC \
  | 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: 415362ddece266eae33f8448c7cf463092f869b930c702a4613bbcfde4fd7a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "447424a1f4bbcf967c4ba7e5b2874682a7dacfe93f44eac77986cdca34bf849d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-09T01:57:07Z",
    "title_canon_sha256": "0b042ac600cfefe0add1e1b01a4c7ef0465fc43035670b731f37a229388f2446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02345",
    "kind": "arxiv",
    "version": 2
  }
}