Pith Number

pith:MQKVDZWE

pith:2020:MQKVDZWEK42M3FZFXJX4SV7JIU

not attested not anchored not stored refs pending

Schwinger's picture of Quantum Mechanics

Alberto Ibort, Fabio Di Cosmo, Florio M. Ciaglia, Giuseppe Marmo

arxiv:2002.09326 v1 · 2020-02-21 · math-ph · 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{MQKVDZWEK42M3FZFXJX4SV7JIU}

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	2026-07-05T01:03:23.396274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641551e6c45734cd9725ba6fc957e94528a4dd7fef68a888f6304cd627d6ccac

Aliases

arxiv: 2002.09326 · arxiv_version: 2002.09326v1 · doi: 10.48550/arxiv.2002.09326 · pith_short_12: MQKVDZWEK42M · pith_short_16: MQKVDZWEK42M3FZF · pith_short_8: MQKVDZWE

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/MQKVDZWEK42M3FZFXJX4SV7JIU \
  | 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: 641551e6c45734cd9725ba6fc957e94528a4dd7fef68a888f6304cd627d6ccac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108c9266f1a3b7d82feec0972a5082a96852c44373bdd18af062e31e49f4cf63",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-02-21T14:28:31Z",
    "title_canon_sha256": "0aad87665a320a8aa1aa5015ead1925fee1e883e73ece2a68121c15a985a5f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.09326",
    "kind": "arxiv",
    "version": 1
  }
}