Pith Number

pith:CNXMGPHI

pith:2019:CNXMGPHIO2TVINL4XZG46KBJAE

not attested not anchored not stored refs pending

Integrability of Stochastic Birth-Death processes via Differential Galois Theory

Jose A. Capitan, Juan J. Morales-Ruiz, Primitivo B. Acosta-Humanez

arxiv:1901.06266 v1 · 2019-01-18 · math-ph · math.MP · 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{CNXMGPHIO2TVINL4XZG46KBJAE}

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	2026-05-17T23:56:01.538880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136ec33ce876a754357cbe4dcf2829013aa5ba90006c0420ef4802ffe01a7fb5

Aliases

arxiv: 1901.06266 · arxiv_version: 1901.06266v1 · doi: 10.48550/arxiv.1901.06266 · pith_short_12: CNXMGPHIO2TV · pith_short_16: CNXMGPHIO2TVINL4 · pith_short_8: CNXMGPHI

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/CNXMGPHIO2TVINL4XZG46KBJAE \
  | 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: 136ec33ce876a754357cbe4dcf2829013aa5ba90006c0420ef4802ffe01a7fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c48d2fc2aa1b87b73074a480037ab3c660902df3700875c9ea296f9d6c7ac90b",
    "cross_cats_sorted": [
      "math.MP",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-18T14:35:16Z",
    "title_canon_sha256": "20aea48473447f069143a74cdf85de76bac3201e3d036af782eb6dfade544d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06266",
    "kind": "arxiv",
    "version": 1
  }
}