Pith Number

pith:GBVXJMSH

pith:2010:GBVXJMSHZVA3YV5EOX7PGA6G2J

not attested not anchored not stored refs pending

Symmetries of Non-Linear Systems: Group Approach to their Quantization

F F L\'opez-Ruiz, J. Guerrero, M. Calixto, V. Aldaya

arxiv:1012.3681 v1 · 2010-12-16 · math-ph · hep-th · 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{GBVXJMSHZVA3YV5EOX7PGA6G2J}

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	2026-05-18T04:04:30.153382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306b74b247cd41bc57a475fef303c6d2536dafaacb181d1252ca2ffd34eaf8d9

Aliases

arxiv: 1012.3681 · arxiv_version: 1012.3681v1 · doi: 10.48550/arxiv.1012.3681 · pith_short_12: GBVXJMSHZVA3 · pith_short_16: GBVXJMSHZVA3YV5E · pith_short_8: GBVXJMSH

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/GBVXJMSHZVA3YV5EOX7PGA6G2J \
  | 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: 306b74b247cd41bc57a475fef303c6d2536dafaacb181d1252ca2ffd34eaf8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870d8f97c6a548a29dbd8ca05dcae9512ad4f05baa4a72eca43d2081f717a5d0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-16T17:14:21Z",
    "title_canon_sha256": "69d2847c9bf4dc8ead4bc99b9d49c4d2e72344ad53bd19b0b81ea9b810575a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3681",
    "kind": "arxiv",
    "version": 1
  }
}