Pith Number

pith:MET2OH7E

pith:2012:MET2OH7E7KIPB7YTG3FHRGHVP6

not attested not anchored not stored refs pending

Mixed superposition rules and the Riccati hierarchy

Janusz Grabowski, Javier de Lucas

arxiv:1203.0123 v1 · 2012-03-01 · math.CA · math-ph · math.DG · 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{MET2OH7E7KIPB7YTG3FHRGHVP6}

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	2026-05-18T03:37:41.467222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6127a71fe4fa90f0ff1336ca7898f57f8adb9337e77a84e751e175c46e897ee8

Aliases

arxiv: 1203.0123 · arxiv_version: 1203.0123v1 · doi: 10.48550/arxiv.1203.0123 · pith_short_12: MET2OH7E7KIP · pith_short_16: MET2OH7E7KIPB7YT · pith_short_8: MET2OH7E

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/MET2OH7E7KIPB7YTG3FHRGHVP6 \
  | 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: 6127a71fe4fa90f0ff1336ca7898f57f8adb9337e77a84e751e175c46e897ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1c7b3fcbe530b5ace6ae00cb3481c995b86853e754daba6f49340f29d544f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-01T09:21:19Z",
    "title_canon_sha256": "ac804dd0f08bda7e714d1046be66041d0e990a808f4b9484fa97ff888b2131c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0123",
    "kind": "arxiv",
    "version": 1
  }
}