Pith Number

pith:ABY2LF7B

pith:2015:ABY2LF7BBUROPQJFBJASOSWEA7

not attested not anchored not stored refs pending

Reducible Quantum Electrodynamics. II. The charged states of the vacuum

Jan Naudts

arxiv:1510.02640 v2 · 2015-10-09 · 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{ABY2LF7BBUROPQJFBJASOSWEA7}

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	2026-05-18T01:13:24.019505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0071a597e10d22e7c1250a41274ac407e11a857ee671bb29bd1194b3f296ed2a

Aliases

arxiv: 1510.02640 · arxiv_version: 1510.02640v2 · doi: 10.48550/arxiv.1510.02640 · pith_short_12: ABY2LF7BBURO · pith_short_16: ABY2LF7BBUROPQJF · pith_short_8: ABY2LF7B

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/ABY2LF7BBUROPQJFBJASOSWEA7 \
  | 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: 0071a597e10d22e7c1250a41274ac407e11a857ee671bb29bd1194b3f296ed2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c71547ac5a572871f94f2ba8ca6d1abfbf041bdf2ced82be8889716792d81b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-09T11:52:06Z",
    "title_canon_sha256": "06ad9146b514500c1b2b20f534a93b3053feb8b3402de5999b292df5fa880af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02640",
    "kind": "arxiv",
    "version": 2
  }
}