Pith Number

pith:GJZF27EN

pith:2013:GJZF27ENJRJ2YHC5AMYSLBGFL3

not attested not anchored not stored refs pending

Asymptotic behaviour near extinction of continuous state branching processes

Gabriel Berzunza, Juan Carlos Pardo

arxiv:1308.0549 v1 · 2013-08-02 · 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{GJZF27ENJRJ2YHC5AMYSLBGFL3}

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	2026-05-18T03:16:50.230949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32725d7c8d4c53ac1c5d03312584c55ec212c8994a2046b4c86ed5618cb851d1

Aliases

arxiv: 1308.0549 · arxiv_version: 1308.0549v1 · doi: 10.48550/arxiv.1308.0549 · pith_short_12: GJZF27ENJRJ2 · pith_short_16: GJZF27ENJRJ2YHC5 · pith_short_8: GJZF27EN

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/GJZF27ENJRJ2YHC5AMYSLBGFL3 \
  | 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: 32725d7c8d4c53ac1c5d03312584c55ec212c8994a2046b4c86ed5618cb851d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054665dabaf6b19ff09ff5e30c64bdfa79851519d413f22fff3f27ab2992a09b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-02T16:38:04Z",
    "title_canon_sha256": "5afaf025618f0cd95ef628f1f0edb8dadd8678781b8ca1da128bbd931c90c0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0549",
    "kind": "arxiv",
    "version": 1
  }
}