Pith Number

pith:JCVGIR2Z

pith:2001:JCVGIR2ZF3YNIVCH5JEGTXJ7CH

not attested not anchored not stored refs pending

On a quaternionic generalisation of the Riccati differential equation

Benjamin Williams, Viktor Kravchenko, Vladislav Kravchenko

arxiv:math-ph/0101010 v1 · 2001-01-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCVGIR2ZF3YNIVCH5JEGTXJ7CH}

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	2026-07-04T15:36:43.649395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48aa6447592ef0d45447ea4869dd3f11ffc4b28d8ea4e6ba769287dd58186fa3

Aliases

arxiv: math-ph/0101010 · arxiv_version: math-ph/0101010v1 · doi: 10.48550/arxiv.math-ph/0101010 · pith_short_12: JCVGIR2ZF3YN · pith_short_16: JCVGIR2ZF3YNIVCH · pith_short_8: JCVGIR2Z

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/JCVGIR2ZF3YNIVCH5JEGTXJ7CH \
  | 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: 48aa6447592ef0d45447ea4869dd3f11ffc4b28d8ea4e6ba769287dd58186fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14d500f67e09c675d62d64c9bf2af1f26b1fbdc3f005bf77b76eb1f4673e984",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-09T18:20:05Z",
    "title_canon_sha256": "67f4c216d13d51faff42696d867e8ef2f3a6eb22c7d194c8304642fe995929d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101010",
    "kind": "arxiv",
    "version": 1
  }
}