Pith Number

pith:QLJK2A56

pith:2009:QLJK2A56P7CMWT55CCLF6EQKHA

not attested not anchored not stored refs pending

Macroscopic QED - concepts and applications

Stefan Scheel, Stefan Yoshi Buhmann

arxiv:0902.3586 v1 · 2009-02-20 · 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{QLJK2A56P7CMWT55CCLF6EQKHA}

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	2026-07-04T15:38:50.785552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d2ad03be7fc4cb4fbd10965f120a383357a33910a0b2e30680f170b49a1575

Aliases

arxiv: 0902.3586 · arxiv_version: 0902.3586v1 · doi: 10.48550/arxiv.0902.3586 · pith_short_12: QLJK2A56P7CM · pith_short_16: QLJK2A56P7CMWT55 · pith_short_8: QLJK2A56

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/QLJK2A56P7CMWT55CCLF6EQKHA \
  | 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: 82d2ad03be7fc4cb4fbd10965f120a383357a33910a0b2e30680f170b49a1575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dfd62f99a0e86239a8c86eefb1567b3abb0d615e0c9f82869dc32756240b63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-02-20T15:34:33Z",
    "title_canon_sha256": "405bb9a61ced5024bbaf06f9605776ef5ab00ad59284cb44d77421df5c0cafff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3586",
    "kind": "arxiv",
    "version": 1
  }
}