Pith Number

pith:NGPIKI5J

pith:2010:NGPIKI5JJXXA73D6XR3I52I7VW

not attested not anchored not stored refs pending

Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory

Juan Sebasti\'an Ardenghi, Mario Castagnino, Olimpia Lombardi

arxiv:1012.0970 v1 · 2010-12-05 · quant-ph · 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{NGPIKI5JJXXA73D6XR3I52I7VW}

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	2026-05-18T04:34:01.999856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699e8523a94dee0fec7ebc768ee91fad8ddf5c8d1ec65b39059102ab8f098263

Aliases

arxiv: 1012.0970 · arxiv_version: 1012.0970v1 · doi: 10.48550/arxiv.1012.0970 · pith_short_12: NGPIKI5JJXXA · pith_short_16: NGPIKI5JJXXA73D6 · pith_short_8: NGPIKI5J

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/NGPIKI5JJXXA73D6XR3I52I7VW \
  | 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: 699e8523a94dee0fec7ebc768ee91fad8ddf5c8d1ec65b39059102ab8f098263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7be9b31f4fbb0b20e9b39ab1f2182da171010cc10ce7c0574bb2f77bef7d53c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-05T03:22:26Z",
    "title_canon_sha256": "aa223419abdc4ec6c277a459e0ab93268acc524a32f858363663b6b7aca4a2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0970",
    "kind": "arxiv",
    "version": 1
  }
}