Pith Number

pith:NFYPZAHR

pith:2015:NFYPZAHRKMGV73WPK5RQGTUQCM

not attested not anchored not stored refs pending

Stueckelberg massive electromagnetism in curved spacetime: Hadamard renormalization of the stress-energy tensor and the Casimir effect

Andrei Belokogne, Antoine Folacci

arxiv:1512.06326 v3 · 2015-12-20 · gr-qc · hep-th · 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{NFYPZAHRKMGV73WPK5RQGTUQCM}

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	2026-05-18T00:56:21.186524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6970fc80f1530d5feecf5763034e90132e4b920cd589dd1dc8661ec66da0d0d1

Aliases

arxiv: 1512.06326 · arxiv_version: 1512.06326v3 · doi: 10.48550/arxiv.1512.06326 · pith_short_12: NFYPZAHRKMGV · pith_short_16: NFYPZAHRKMGV73WP · pith_short_8: NFYPZAHR

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/NFYPZAHRKMGV73WPK5RQGTUQCM \
  | 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: 6970fc80f1530d5feecf5763034e90132e4b920cd589dd1dc8661ec66da0d0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f3af357f9264dbdf905eb3521db7425added24ea204b6bcb2b3ac667741374a",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-20T06:29:40Z",
    "title_canon_sha256": "db8d363a28f8314f271ab8748f0c1999fb03779d2d48512a6261f305232e2218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06326",
    "kind": "arxiv",
    "version": 3
  }
}