Pith Number

pith:VSNWAXSQ

pith:2024:VSNWAXSQ4EMCDABVACB2Q2VQ47

not attested not anchored not stored refs pending

Adiabatic regularization for massive and massless spin-$1$ fields

F. Javier Mara\~n\'on-Gonz\'alez, Jos\'e Navarro-Salas

arxiv:2412.01963 v1 · 2024-12-02 · gr-qc · 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{VSNWAXSQ4EMCDABVACB2Q2VQ47}

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	2026-07-05T09:43:41.528438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9b605e50e1182180350083a86ab0e7cf08db1ca7224affd4a389ea1e83b879

Aliases

arxiv: 2412.01963 · arxiv_version: 2412.01963v1 · doi: 10.48550/arxiv.2412.01963 · pith_short_12: VSNWAXSQ4EMC · pith_short_16: VSNWAXSQ4EMCDABV · pith_short_8: VSNWAXSQ

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/VSNWAXSQ4EMCDABVACB2Q2VQ47 \
  | 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: ac9b605e50e1182180350083a86ab0e7cf08db1ca7224affd4a389ea1e83b879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d572b6c4c894706411888a07c6ed51e542ec09777042e2aedcca995ea1ef6fae",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-02T20:47:25Z",
    "title_canon_sha256": "f189005cdab165002674c8cd9bafc7993636b31d9f82069295108acf9829308d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01963",
    "kind": "arxiv",
    "version": 1
  }
}