Pith Number

pith:6C7A74RE

pith:2019:6C7A74REL3SYLMC425R4YKLI3P

not attested not anchored not stored refs pending

Sample paths of continuous-state branching processes with dependent immigration

Zenghu Li

arxiv:1901.08800 v1 · 2019-01-25 · 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{6C7A74REL3SYLMC425R4YKLI3P}

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	2026-05-17T23:55:33.081717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0be0ff2245ee585b05cd763cc2968dbc9c1e7efb5f758d75a15b56a9ed25b40

Aliases

arxiv: 1901.08800 · arxiv_version: 1901.08800v1 · doi: 10.48550/arxiv.1901.08800 · pith_short_12: 6C7A74REL3SY · pith_short_16: 6C7A74REL3SYLMC4 · pith_short_8: 6C7A74RE

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/6C7A74REL3SYLMC425R4YKLI3P \
  | 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: f0be0ff2245ee585b05cd763cc2968dbc9c1e7efb5f758d75a15b56a9ed25b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a756334d6168c87f026c95a4973f20488f92f95ec79422f7501af4bcec4cba75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-25T09:47:29Z",
    "title_canon_sha256": "74178d2dcdc142b9b0af7f515b7feb31ae677a9b9c1e596c0cd7cfd75463e387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08800",
    "kind": "arxiv",
    "version": 1
  }
}