Pith Number

pith:MUPOWY4K

pith:2012:MUPOWY4KC5RQ52YRNFUAENXKTQ

not attested not anchored not stored refs pending

The Symplectic Camel and Quantum Universal Invariants: the Angel of Geometry vs. the Demon of Algebra

Maurice A. de Gosson

arxiv:1203.5310 v1 · 2012-03-23 · math-ph · math.MP · math.SG · 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{MUPOWY4KC5RQ52YRNFUAENXKTQ}

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	2026-05-18T03:59:26.218667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651eeb638a17630eeb1169680236ea9c1c03f6268a34e67c2017660b24279313

Aliases

arxiv: 1203.5310 · arxiv_version: 1203.5310v1 · doi: 10.48550/arxiv.1203.5310 · pith_short_12: MUPOWY4KC5RQ · pith_short_16: MUPOWY4KC5RQ52YR · pith_short_8: MUPOWY4K

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/MUPOWY4KC5RQ52YRNFUAENXKTQ \
  | 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: 651eeb638a17630eeb1169680236ea9c1c03f6268a34e67c2017660b24279313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accaa2a8c4025ecaf2e79994bc9e23de104b9e698acbd947081b5beebade4677",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-23T18:25:44Z",
    "title_canon_sha256": "0c7d6015b838b2dc36bbaa915178331ff14f918947e665f48d684119bd20854e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5310",
    "kind": "arxiv",
    "version": 1
  }
}