Pith Number

pith:5JOQFXLI

pith:2025:5JOQFXLIQ6ZB3GNF4DNMC3RLH6

not attested not anchored not stored refs pending

Site Frequency Spectrum in stationary branching populations

Jean-Fran\c{c}ois Delmas (CERMICS), Patrick Hoscheit (MaIAGE), Romain Abraham (IDP)

arxiv:2508.07906 v2 · 2025-08-11 · 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{5JOQFXLIQ6ZB3GNF4DNMC3RLH6}

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	2026-05-25T02:02:08.257643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5d02dd6887b21d99a5e0dac16e2b3fb07339ae6c2b0cf8949461a9d4c4ed9a

Aliases

arxiv: 2508.07906 · arxiv_version: 2508.07906v2 · doi: 10.48550/arxiv.2508.07906 · pith_short_12: 5JOQFXLIQ6ZB · pith_short_16: 5JOQFXLIQ6ZB3GNF · pith_short_8: 5JOQFXLI

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/5JOQFXLIQ6ZB3GNF4DNMC3RLH6 \
  | 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: ea5d02dd6887b21d99a5e0dac16e2b3fb07339ae6c2b0cf8949461a9d4c4ed9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b668ef2f3f9d5475bb00b1f5a2ce956dbd0796c8331cf1da11815a8fbc4a961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-11T12:19:47Z",
    "title_canon_sha256": "41a0d3af77e1ba374073c7b402597177bd1dd94deaacd4f8c63f6411e8a187e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07906",
    "kind": "arxiv",
    "version": 2
  }
}