Pith Number

pith:COOUPT72

pith:2011:COOUPT724YQLGQHKORWBHTH4RN

not attested not anchored not stored refs pending

Sistemas de Lie y sus aplicaciones en F\'{\i}sica y Teor\'{\i}a de Control

Arturo Ramos

arxiv:1106.3775 v1 · 2011-06-19 · 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{COOUPT724YQLGQHKORWBHTH4RN}

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	2026-05-18T04:19:42.198883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139d47cffae620b340ea746c13ccfc8b5860f384af715346e791ee8542778d1e

Aliases

arxiv: 1106.3775 · arxiv_version: 1106.3775v1 · doi: 10.48550/arxiv.1106.3775 · pith_short_12: COOUPT724YQL · pith_short_16: COOUPT724YQLGQHK · pith_short_8: COOUPT72

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/COOUPT724YQLGQHKORWBHTH4RN \
  | 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: 139d47cffae620b340ea746c13ccfc8b5860f384af715346e791ee8542778d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9672f3c75d7b032d0af7d3216e19a7d5b2949a38f1862e46599be7d304fb168e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-19T20:01:32Z",
    "title_canon_sha256": "fe29ef31afba761752cb8fc8f8d40521bf9c605b30a84980e205c381fa2d3a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3775",
    "kind": "arxiv",
    "version": 1
  }
}