Pith Number

pith:IQEPJLKL

pith:2026:IQEPJLKLD72GETAVMHFSX5UTJW

not attested not anchored not stored refs pending

Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting

Joshua C Chang

arxiv:2605.17186 v1 · 2026-05-16 · math.NA · cs.NA · math.DS · math.PR · q-bio.QM · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQEPJLKLD72GETAVMHFSX5UTJW}

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	2026-05-20T00:03:44.007852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4408f4ad4b1ff4624c1561cb2bf6934dadd6488b83003d9109048ac7950e1c8e

Aliases

arxiv: 2605.17186 · arxiv_version: 2605.17186v1 · doi: 10.48550/arxiv.2605.17186 · pith_short_12: IQEPJLKLD72G · pith_short_16: IQEPJLKLD72GETAV · pith_short_8: IQEPJLKL

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/IQEPJLKLD72GETAVMHFSX5UTJW \
  | 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: 4408f4ad4b1ff4624c1561cb2bf6934dadd6488b83003d9109048ac7950e1c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c7efc0fe512cd8722d9f71ef7ea26b5b99bf1b9b1a9f9edd7edfd0610d84f3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS",
      "math.PR",
      "q-bio.QM",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-16T22:46:15Z",
    "title_canon_sha256": "c31349ab10c8327dc489e76dc31821e5b6d4fcb3956f8f1607a3d0a84a72c450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17186",
    "kind": "arxiv",
    "version": 1
  }
}