Pith Number

pith:U6DUDBQD

pith:2009:U6DUDBQDSYL2CFRGDFGPB6TJFJ

not attested not anchored not stored refs pending

Asymptotic regimes for the partition into colonies of a branching process with emigration

DMA), Jean Bertoin (PMA

arxiv:0908.3735 v2 · 2009-08-26 · 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{U6DUDBQDSYL2CFRGDFGPB6TJFJ}

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	2026-05-18T04:36:08.894410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7874186039617a11626194cf0fa692a4ceb1c740d1f0ff070646f9d08bc0079

Aliases

arxiv: 0908.3735 · arxiv_version: 0908.3735v2 · doi: 10.48550/arxiv.0908.3735 · pith_short_12: U6DUDBQDSYL2 · pith_short_16: U6DUDBQDSYL2CFRG · pith_short_8: U6DUDBQD

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/U6DUDBQDSYL2CFRGDFGPB6TJFJ \
  | 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: a7874186039617a11626194cf0fa692a4ceb1c740d1f0ff070646f9d08bc0079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2626db0906348ac858ca8b08610b1c65602788458f5e67fc31002ee2a369928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-26T06:43:01Z",
    "title_canon_sha256": "38211b62655f823d155d563884dfe590a0f032c9ac1864535aa2de2cd3e59489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3735",
    "kind": "arxiv",
    "version": 2
  }
}