Pith Number

pith:Q75WGGKO

pith:2025:Q75WGGKOMFRR45S6MT4KYVUXA4

not attested not anchored not stored refs pending

Solving the Riccati Equation

Everardo Rivera-Oliva

arxiv:2502.20688 v1 · 2025-02-28 · 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{Q75WGGKOMFRR45S6MT4KYVUXA4}

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	2026-07-05T10:21:37.776065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fb63194e61631e765e64f8ac5697073266f9339f03fc338bc0566d1fb166cc

Aliases

arxiv: 2502.20688 · arxiv_version: 2502.20688v1 · doi: 10.48550/arxiv.2502.20688 · pith_short_12: Q75WGGKOMFRR · pith_short_16: Q75WGGKOMFRR45S6 · pith_short_8: Q75WGGKO

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/Q75WGGKOMFRR45S6MT4KYVUXA4 \
  | 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: 87fb63194e61631e765e64f8ac5697073266f9339f03fc338bc0566d1fb166cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec63aa363f24826828b2d95e6064a2eefedf127d9806d6f2bf7fbefb5bbc0dd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-28T03:44:22Z",
    "title_canon_sha256": "4536565e3a8e5e93f82d3ee758379bc54acd77ce9918cf97165cee91a411ee97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20688",
    "kind": "arxiv",
    "version": 1
  }
}