Pith Number

pith:VFCS4TEN

pith:2016:VFCS4TENIG6S5NBOQQE2MPERT7

not attested not anchored not stored refs pending

On a three-dimensional Riccati differential equation and its symmetries

Charles Papillon, S\'ebastien Tremblay

arxiv:1612.04842 v5 · 2016-12-14 · 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{VFCS4TENIG6S5NBOQQE2MPERT7}

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	2026-05-18T00:32:44.059639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9452e4c8d41bd2eb42e8409a63c919ff7faeed0f255f9dbe25a4a331023a997

Aliases

arxiv: 1612.04842 · arxiv_version: 1612.04842v5 · doi: 10.48550/arxiv.1612.04842 · pith_short_12: VFCS4TENIG6S · pith_short_16: VFCS4TENIG6S5NBO · pith_short_8: VFCS4TEN

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/VFCS4TENIG6S5NBOQQE2MPERT7 \
  | 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: a9452e4c8d41bd2eb42e8409a63c919ff7faeed0f255f9dbe25a4a331023a997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2993b4300c9c96ff4a596b50585ce7d1df57baa66589316aed03faab076388",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-14T21:15:21Z",
    "title_canon_sha256": "9245840e7f1f6d53e293dbb198b83b1c96fbdbb3df01bc0bd6f0d61e4b8e5788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04842",
    "kind": "arxiv",
    "version": 5
  }
}