Pith Number

pith:4XZ2RTQ5

pith:2012:4XZ2RTQ5OFLGYSOOCTYF433KYX

not attested not anchored not stored refs pending

Asympotic behavior of the total length of external branches for Beta-coalescents

Jean-Stephane Dhersin (IG, LAGA), Linglong Yuan (IG

arxiv:1202.5859 v3 · 2012-02-27 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XZ2RTQ5OFLGYSOOCTYF433KYX}

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	2026-05-18T03:25:06.081511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f3a8ce1d71566c49ce14f05e6f6ac5e295528ecff87ff5579d6f4ebaffeb6b

Aliases

arxiv: 1202.5859 · arxiv_version: 1202.5859v3 · doi: 10.48550/arxiv.1202.5859 · pith_short_12: 4XZ2RTQ5OFLG · pith_short_16: 4XZ2RTQ5OFLGYSOO · pith_short_8: 4XZ2RTQ5

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/4XZ2RTQ5OFLGYSOOCTYF433KYX \
  | 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: e5f3a8ce1d71566c49ce14f05e6f6ac5e295528ecff87ff5579d6f4ebaffeb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a484c52b1b079502d76d518d8d610e8a24734526628dabac041dc3bfe3a9b1a9",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-27T08:51:48Z",
    "title_canon_sha256": "119f3e2d3f2dffa94785793363fc9ca1fd29bed2991b90dae7cf6657cf1d240f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5859",
    "kind": "arxiv",
    "version": 3
  }
}