Pith Number

pith:VYDUHG2O

pith:2001:VYDUHG2OWD2R6FAQG7JFU7HOZC

not attested not anchored not stored refs pending

A new geometric approach to Lie systems and physical applications

Arturo Ramos, Jos\'e F. Cari\~nena

arxiv:math-ph/0110023 v1 · 2001-10-19 · math-ph · hep-th · math.DG · math.DS · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYDUHG2OWD2R6FAQG7JFU7HOZC}

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	2026-05-18T02:25:34.538147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae07439b4eb0f51f141037d25a7ceec89e600ed05f93e2a6b482c35c8e29edff

Aliases

arxiv: math-ph/0110023 · arxiv_version: math-ph/0110023v1 · doi: 10.48550/arxiv.math-ph/0110023 · pith_short_12: VYDUHG2OWD2R · pith_short_16: VYDUHG2OWD2R6FAQ · pith_short_8: VYDUHG2O

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/VYDUHG2OWD2R6FAQG7JFU7HOZC \
  | 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: ae07439b4eb0f51f141037d25a7ceec89e600ed05f93e2a6b482c35c8e29edff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6aaa7e3a3e97124723a828a3ed6014accd5abb3832603d63d7ecbd79b2837a5",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.DS",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-10-19T15:42:35Z",
    "title_canon_sha256": "0b3962e75f467a26c2a5383fb0de168c86049d6c1c6e39b976331cde5feac824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0110023",
    "kind": "arxiv",
    "version": 1
  }
}