Pith Number

pith:2EUMNBJT

pith:2015:2EUMNBJTE5UYD2JC6VASI254R2

not attested not anchored not stored refs pending

Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates

Denis Villemonais, Nicolas Champagnat

arxiv:1508.03161 v1 · 2015-08-13 · 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{2EUMNBJTE5UYD2JC6VASI254R2}

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	2026-05-18T01:35:21.583617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d128c68533276981e922f541246bbc8ea27b88a42d135b55eefe84a0f79f5c4b

Aliases

arxiv: 1508.03161 · arxiv_version: 1508.03161v1 · doi: 10.48550/arxiv.1508.03161 · pith_short_12: 2EUMNBJTE5UY · pith_short_16: 2EUMNBJTE5UYD2JC · pith_short_8: 2EUMNBJT

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/2EUMNBJTE5UYD2JC6VASI254R2 \
  | 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: d128c68533276981e922f541246bbc8ea27b88a42d135b55eefe84a0f79f5c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa60b81a18d733c746fbd33fe2063206feb7771d8f0cdd367c07048d724fc2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-13T09:51:55Z",
    "title_canon_sha256": "33f87707486f1fee888222890059e118c5a8a73fee63c8676c5df520e837b539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03161",
    "kind": "arxiv",
    "version": 1
  }
}