Pith Number

pith:P7OOJPGR

pith:2017:P7OOJPGRDWY4PXVBEDHL2MHB6C

not attested not anchored not stored refs pending

Sesqui-type branching processes

Lutz Warnke, Oliver Riordan, Svante Janson

arxiv:1706.00283 v2 · 2017-06-01 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7OOJPGRDWY4PXVBEDHL2MHB6C}

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.

Cited by

1 paper in Pith

Graphon convergence of random cographs

Receipt and verification

First computed	2026-05-18T00:01:47.472347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fdce4bcd11db1c7dea120cebd30e1f0855a7d64c26892374d872d527f6fef39

Aliases

arxiv: 1706.00283 · arxiv_version: 1706.00283v2 · doi: 10.48550/arxiv.1706.00283 · pith_short_12: P7OOJPGRDWY4 · pith_short_16: P7OOJPGRDWY4PXVB · pith_short_8: P7OOJPGR

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/P7OOJPGRDWY4PXVBEDHL2MHB6C \
  | 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: 7fdce4bcd11db1c7dea120cebd30e1f0855a7d64c26892374d872d527f6fef39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e5646cf58b5fa48ef7a5aa260183b8801d3ac41157f96b5ed96b3feabe662b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-01T13:02:39Z",
    "title_canon_sha256": "5f64cd0ad788e8ef13b1e0f4d05d77f1fe848bed621607e851a8fdf44ce51cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00283",
    "kind": "arxiv",
    "version": 2
  }
}