Pith Number

pith:TDRZOSY3

pith:2019:TDRZOSY3ARZQ7V4UUIZAOLUX6P

not attested not anchored not stored refs pending

Extinction time of logistic branching processes in a Brownian environment

H\'el\`ene Leman, Juan Carlos Pardo

arxiv:1906.01395 v1 · 2019-06-04 · 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{TDRZOSY3ARZQ7V4UUIZAOLUX6P}

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	2026-05-17T23:44:16.786193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e3974b1b04730fd794a232072e97f3ecd516fef838d4a9e299249576416947

Aliases

arxiv: 1906.01395 · arxiv_version: 1906.01395v1 · doi: 10.48550/arxiv.1906.01395 · pith_short_12: TDRZOSY3ARZQ · pith_short_16: TDRZOSY3ARZQ7V4U · pith_short_8: TDRZOSY3

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/TDRZOSY3ARZQ7V4UUIZAOLUX6P \
  | 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: 98e3974b1b04730fd794a232072e97f3ecd516fef838d4a9e299249576416947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04fb0008ea3484ef6cba019ba01e4c6eabf49ca62ad6737972f850e3eb679e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-04T13:08:16Z",
    "title_canon_sha256": "ea7d7479bf820d677ef5507671a3effeb54c7625dc776b7097e14017b1a59cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01395",
    "kind": "arxiv",
    "version": 1
  }
}