Pith Number

pith:JMJ2KFKT

pith:2018:JMJ2KFKT3K7GJSEPDVYSXGX22J

not attested not anchored not stored refs pending

$\hat p \cdot \hat A$ vs $\hat x \cdot \hat E$: Gauge invariance in quantum optics

Eduardo Martin-Martinez, Jorma Louko, Nicholas Funai

arxiv:1807.08001 v2 · 2018-07-20 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMJ2KFKT3K7GJSEPDVYSXGX22J}

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	2026-05-17T23:46:55.275507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b13a51553dabe64c88f1d712b9afad27374ca8d7399d922369e88145af8c1c1

Aliases

arxiv: 1807.08001 · arxiv_version: 1807.08001v2 · doi: 10.48550/arxiv.1807.08001 · pith_short_12: JMJ2KFKT3K7G · pith_short_16: JMJ2KFKT3K7GJSEP · pith_short_8: JMJ2KFKT

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/JMJ2KFKT3K7GJSEPDVYSXGX22J \
  | 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: 4b13a51553dabe64c88f1d712b9afad27374ca8d7399d922369e88145af8c1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76213f73bc48312759fec8530e7e83a67881d2358ba4a2fde2f7cf8924ed57fc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-20T18:56:45Z",
    "title_canon_sha256": "5d702e4771e2db21064c8224b2b381eff07b4df870963d61d3896f12fdc5bb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08001",
    "kind": "arxiv",
    "version": 2
  }
}