Pith Number

pith:PPLPYSDF

pith:2013:PPLPYSDFRMKN3JBCCO63JMJGC3

not attested not anchored not stored refs pending

The coalescent point process of multi-type branching trees

Lea Popovic, Mariolys Rivas

arxiv:1309.4153 v1 · 2013-09-17 · 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{PPLPYSDFRMKN3JBCCO63JMJGC3}

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	2026-05-18T03:13:09.411756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd6fc48658b14dda42213bdb4b12616fefbefb6627663f8e2ea95ff48166e90

Aliases

arxiv: 1309.4153 · arxiv_version: 1309.4153v1 · doi: 10.48550/arxiv.1309.4153 · pith_short_12: PPLPYSDFRMKN · pith_short_16: PPLPYSDFRMKN3JBC · pith_short_8: PPLPYSDF

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/PPLPYSDFRMKN3JBCCO63JMJGC3 \
  | 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: 7bd6fc48658b14dda42213bdb4b12616fefbefb6627663f8e2ea95ff48166e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3f7fb4732652a4b1646dd342bf40aebe3cef62df45b7a3fdad6913984270b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-17T02:16:56Z",
    "title_canon_sha256": "1e986137506395527e82de49c579a7b8cad9805f26b84fcc83f16d345fcfdfa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4153",
    "kind": "arxiv",
    "version": 1
  }
}