Pith Number

pith:NPPSGZ5Y

pith:2019:NPPSGZ5YPHTPDAUJUCSYMJ46ON

not attested not anchored not stored refs pending

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

Andreas Greven

arxiv:1907.06965 v1 · 2019-07-16 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPPSGZ5YPHTPDAUJUCSYMJ46ON}

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	2026-05-17T23:40:28.506304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bdf2367b879e6f18289a0a586279e7375f8d03ef94395585cc1c0344ac0a6d5

Aliases

arxiv: 1907.06965 · arxiv_version: 1907.06965v1 · doi: 10.48550/arxiv.1907.06965 · pith_short_12: NPPSGZ5YPHTP · pith_short_16: NPPSGZ5YPHTPDAUJ · pith_short_8: NPPSGZ5Y

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/NPPSGZ5YPHTPDAUJUCSYMJ46ON \
  | 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: 6bdf2367b879e6f18289a0a586279e7375f8d03ef94395585cc1c0344ac0a6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2255eb5b1c30cc14cf59bad3d575263a0e88da9974a49ec967534c0f95e867d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-16T12:45:38Z",
    "title_canon_sha256": "93ef70e73b63909e1374e363d82307e85cf615f85faa3ec788fe5aabe69cd83e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06965",
    "kind": "arxiv",
    "version": 1
  }
}