Pith Number

pith:VUXVJ63O

pith:2006:VUXVJ63OGQPAHNDQ6Y4DRUZHGU

not attested not anchored not stored refs pending

Operator Gauge Symmetry in QED

Sadollah Nasiri, Siamak Khademi

arxiv:quant-ph/0602002 v1 · 2006-01-31 · 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{VUXVJ63OGQPAHNDQ6Y4DRUZHGU}

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	2026-07-04T15:34:57.398492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2f54fb6e341e03b470f63838d327351f2d820bf986d773ca3bb02682af643d

Aliases

arxiv: quant-ph/0602002 · arxiv_version: quant-ph/0602002v1 · doi: 10.48550/arxiv.quant-ph/0602002 · pith_short_12: VUXVJ63OGQPA · pith_short_16: VUXVJ63OGQPAHNDQ · pith_short_8: VUXVJ63O

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/VUXVJ63OGQPAHNDQ6Y4DRUZHGU \
  | 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: ad2f54fb6e341e03b470f63838d327351f2d820bf986d773ca3bb02682af643d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d824c35f81f3838001ba3b6783c2e37e091d67513eac7c36a5bd75b38311cbd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-31T22:23:16Z",
    "title_canon_sha256": "64b73a85ef3850712f8a001a35f8656f112a1a46100fac430cfb15cfebb1a118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0602002",
    "kind": "arxiv",
    "version": 1
  }
}