Pith Number

pith:Q7NCBOFU

pith:2017:Q7NCBOFUHYY3BBZ7HCXZTNOUI7

not attested not anchored not stored refs pending

On time scales and quasi-stationary distributions for multitype birth-and-death processes

J.-R. Chazottes, P. Collet, S. M\'el\'eard

arxiv:1702.05369 v3 · 2017-02-17 · math.PR · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7NCBOFUHYY3BBZ7HCXZTNOUI7}

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	2026-05-18T00:00:32.854429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87da20b8b43e31b0873f38af99b5d447c25634b02e421360540f76a2b853ef10

Aliases

arxiv: 1702.05369 · arxiv_version: 1702.05369v3 · doi: 10.48550/arxiv.1702.05369 · pith_short_12: Q7NCBOFUHYY3 · pith_short_16: Q7NCBOFUHYY3BBZ7 · pith_short_8: Q7NCBOFU

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/Q7NCBOFUHYY3BBZ7HCXZTNOUI7 \
  | 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: 87da20b8b43e31b0873f38af99b5d447c25634b02e421360540f76a2b853ef10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5683aebc8b855b0ddc5204c918f99c7b8151abeb8ec2cdcb7878ae46fc01b88c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-17T14:53:27Z",
    "title_canon_sha256": "1257f111da1cec00be8d3d198c13d36bde3e871e966672c0ad10c9298740c9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05369",
    "kind": "arxiv",
    "version": 3
  }
}