Pith Number

pith:KSIOVJCE

pith:2017:KSIOVJCEQWWSSTB3G5ACSTA266

not attested not anchored not stored refs pending

A probabilistic approach to spectral analysis of growth-fragmentation equations

Alexander Watson, Jean Bertoin

arxiv:1701.05061 v1 · 2017-01-18 · math.PR · 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{KSIOVJCEQWWSSTB3G5ACSTA266}

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	2026-07-05T02:08:26.643544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5490eaa44485ad294c3b3740294c1af781162418be0df202297e4a17b759784d

Aliases

arxiv: 1701.05061 · arxiv_version: 1701.05061v1 · doi: 10.48550/arxiv.1701.05061 · pith_short_12: KSIOVJCEQWWS · pith_short_16: KSIOVJCEQWWSSTB3 · pith_short_8: KSIOVJCE

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/KSIOVJCEQWWSSTB3G5ACSTA266 \
  | 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: 5490eaa44485ad294c3b3740294c1af781162418be0df202297e4a17b759784d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895c59034e88135ded93641137cba393d40d831ce25906e5778aafdf503dee22",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-18T13:47:09Z",
    "title_canon_sha256": "3d51f05cd187f314f69720cd0c1a2f73da2709a860211fc3da2ed07b30245003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05061",
    "kind": "arxiv",
    "version": 1
  }
}