Pith Number

pith:3YOJGXEM

pith:2019:3YOJGXEMET5RAREOCXYEIDXJ7E

not attested not anchored not stored refs pending

Family size decomposition of genealogical trees

Max Grieshammer

arxiv:1903.02782 v1 · 2019-03-07 · 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{3YOJGXEMET5RAREOCXYEIDXJ7E}

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

Stochastic Evolution of spatial populations: From configurations to genealogies and back

Receipt and verification

First computed	2026-05-17T23:51:51.138624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1c935c8c24fb10448e15f0440ee9f93fe000a697a2b2d5dcb72361bd17fb1b

Aliases

arxiv: 1903.02782 · arxiv_version: 1903.02782v1 · doi: 10.48550/arxiv.1903.02782 · pith_short_12: 3YOJGXEMET5R · pith_short_16: 3YOJGXEMET5RAREO · pith_short_8: 3YOJGXEM

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/3YOJGXEMET5RAREOCXYEIDXJ7E \
  | 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: de1c935c8c24fb10448e15f0440ee9f93fe000a697a2b2d5dcb72361bd17fb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2940a6846c548c7bb315a8042211127ad83a1cbd32b8106e6c6b2c4aab72d686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-07T09:18:00Z",
    "title_canon_sha256": "4dae2e86a7fa11a9360d465d708e63a5f6b073e84e0af2fc442b4aff5ad3da3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02782",
    "kind": "arxiv",
    "version": 1
  }
}