Pith Number

pith:FG36TS6X

pith:2008:FG36TS6XCFYLDK7TSX5WV6RTPI

not attested not anchored not stored refs pending

Quasi-Lie schemes: theory and applications

Janusz Grabowski, Javier de Lucas, Jose F. Carinena

arxiv:0810.1160 v2 · 2008-10-07 · math-ph · math.CA · 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{FG36TS6XCFYLDK7TSX5WV6RTPI}

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	2026-05-18T04:08:04.249918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b7e9cbd71170b1abf395fb6afa337a273fbf23a22040dbe2974bdb11c06370

Aliases

arxiv: 0810.1160 · arxiv_version: 0810.1160v2 · doi: 10.48550/arxiv.0810.1160 · pith_short_12: FG36TS6XCFYL · pith_short_16: FG36TS6XCFYLDK7T · pith_short_8: FG36TS6X

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/FG36TS6XCFYLDK7TSX5WV6RTPI \
  | 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: 29b7e9cbd71170b1abf395fb6afa337a273fbf23a22040dbe2974bdb11c06370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf09062471248663d76d85eb2ee3add0e1855c52ff85e36aade7f363d7ac2da",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-10-07T11:19:16Z",
    "title_canon_sha256": "2cf50678af610f135c4c38e382e3d8fcf6c5bd48dd89e5984aa3ab4075e7fced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1160",
    "kind": "arxiv",
    "version": 2
  }
}