Pith Number

pith:DVTHUNQ5

pith:2019:DVTHUNQ5PRLGXBF4ZYC2XKMFYD

not attested not anchored not stored refs pending

Schwinger's Picture of Quantum Mechanics I: Groupoids

Alberto Ibort, Florio M. Ciaglia, Giuseppe Marmo

arxiv:1905.12274 v1 · 2019-05-29 · math-ph · hep-th · 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{DVTHUNQ5PRLGXBF4ZYC2XKMFYD}

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	2026-07-05T00:04:42.237718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d667a361d7c566b84bcce05aba985c0e6bb4034c68c505542ac6f778f108f6b

Aliases

arxiv: 1905.12274 · arxiv_version: 1905.12274v1 · doi: 10.48550/arxiv.1905.12274 · pith_short_12: DVTHUNQ5PRLG · pith_short_16: DVTHUNQ5PRLGXBF4 · pith_short_8: DVTHUNQ5

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/DVTHUNQ5PRLGXBF4ZYC2XKMFYD \
  | 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: 1d667a361d7c566b84bcce05aba985c0e6bb4034c68c505542ac6f778f108f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07b9f304eb9ec98849e8164c7ff4cbfb5437ff4ef1a412671a545926bded1e2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-29T08:46:53Z",
    "title_canon_sha256": "53f28e00a55ea8ac31944ff2a0204f9a9646eda5c7f21001a3eddd7dbd3ce61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12274",
    "kind": "arxiv",
    "version": 1
  }
}