Pith Number

pith:G5LZJ2FO

pith:2018:G5LZJ2FOMKKZW2XHIYBGX4RARK

not attested not anchored not stored refs pending

Trees within trees: Simple nested coalescents

Airam Blancas, Amaury Lambert, Arno Siri-J\'egousse, Jean-Jil Duchamps

arxiv:1803.02133 v2 · 2018-03-06 · 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{G5LZJ2FOMKKZW2XHIYBGX4RARK}

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	2026-05-18T00:04:59.327082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375794e8ae62959b6ae746026bf2208a98fca6416ab4e2a5ac4382b42b40b7c4

Aliases

arxiv: 1803.02133 · arxiv_version: 1803.02133v2 · doi: 10.48550/arxiv.1803.02133 · pith_short_12: G5LZJ2FOMKKZ · pith_short_16: G5LZJ2FOMKKZW2XH · pith_short_8: G5LZJ2FO

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/G5LZJ2FOMKKZW2XHIYBGX4RARK \
  | 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: 375794e8ae62959b6ae746026bf2208a98fca6416ab4e2a5ac4382b42b40b7c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4604e1f0e904c0029566ba7910df5f2737308dc3bd0f4e663bda15cc47add05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-06T11:52:59Z",
    "title_canon_sha256": "8248f904a233db7154310853b5279ac0554d8a62669998c417e0914f79864b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02133",
    "kind": "arxiv",
    "version": 2
  }
}