Pith Number

pith:3QWL454W

pith:2016:3QWL454WS7D2YHMVKTMPST73B6

not attested not anchored not stored refs pending

Feller property of the multiplicative coalescent with linear deletion

Balazs Rath

arxiv:1610.00021 v2 · 2016-09-30 · 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{3QWL454WS7D2YHMVKTMPST73B6}

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	2026-05-18T00:20:32.491643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2cbe779697c7ac1d9554d8f94ffb0faaa76a0d43c96938fe57853143bc153f

Aliases

arxiv: 1610.00021 · arxiv_version: 1610.00021v2 · doi: 10.48550/arxiv.1610.00021 · pith_short_12: 3QWL454WS7D2 · pith_short_16: 3QWL454WS7D2YHMV · pith_short_8: 3QWL454W

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/3QWL454WS7D2YHMVKTMPST73B6 \
  | 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: dc2cbe779697c7ac1d9554d8f94ffb0faaa76a0d43c96938fe57853143bc153f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc9c38215aa52d67d09e0ed36ebc1f86e6195eeaf3ddc2427958050153d361d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-30T20:13:17Z",
    "title_canon_sha256": "01d5c6826f94a16cd9a7f5726fb75270055bca565f7f4ec39a5f95f3bc8e8f2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00021",
    "kind": "arxiv",
    "version": 2
  }
}