Pith Number

pith:UJPDFRNP

pith:2014:UJPDFRNPMBA7BWF2LMN73FFIQC

not attested not anchored not stored refs pending

A multispecies birth-death-immigration process and its diffusion approximation

Abdelaziz Rhandi, Antonio Di Crescenzo, Barbara Martinucci

arxiv:1405.4312 v2 · 2014-05-16 · 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{UJPDFRNPMBA7BWF2LMN73FFIQC}

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	2026-05-18T01:12:58.815859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25e32c5af6041f0d8ba5b1bfd94a8809492fd39dd32ecd7d1e37743ac029b2d

Aliases

arxiv: 1405.4312 · arxiv_version: 1405.4312v2 · doi: 10.48550/arxiv.1405.4312 · pith_short_12: UJPDFRNPMBA7 · pith_short_16: UJPDFRNPMBA7BWF2 · pith_short_8: UJPDFRNP

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/UJPDFRNPMBA7BWF2LMN73FFIQC \
  | 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: a25e32c5af6041f0d8ba5b1bfd94a8809492fd39dd32ecd7d1e37743ac029b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b98f97c6fbd0b0128750aba4716cb1971a3cbf229dfebe7db75f12d240513da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-16T21:26:34Z",
    "title_canon_sha256": "eb9e906d414937fe60e9750eb6550f381fd349730822c640b7e97db026d27edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4312",
    "kind": "arxiv",
    "version": 2
  }
}