Pith Number

pith:MHXMK2CQ

pith:2022:MHXMK2CQGEJR5FE2OAYHCGZDHS

not attested not anchored not stored refs pending

Resolving the pathologies of self-interacting Proca fields: A case study of Proca stars

Katsuki Aoki, Masato Minamitsuji

arxiv:2206.14320 v2 · 2022-06-28 · 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{MHXMK2CQGEJR5FE2OAYHCGZDHS}

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.

Cited by

1 paper in Pith

No-go theorem for spontaneous vectorization

Receipt and verification

First computed	2026-07-05T04:57:26.149398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61eec5685031131e949a7030711b233ca88799971e5dec1b1956fdf24950e7e4

Aliases

arxiv: 2206.14320 · arxiv_version: 2206.14320v2 · doi: 10.48550/arxiv.2206.14320 · pith_short_12: MHXMK2CQGEJR · pith_short_16: MHXMK2CQGEJR5FE2 · pith_short_8: MHXMK2CQ

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/MHXMK2CQGEJR5FE2OAYHCGZDHS \
  | 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: 61eec5685031131e949a7030711b233ca88799971e5dec1b1956fdf24950e7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d277d0ab869d59b049258a888b074992a11969e9ea8e84bf5676cb28ec2d8b2a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-28T23:09:44Z",
    "title_canon_sha256": "c3ee1876bc68940638d5f7b4d8b3ee70367ed9ce7364ceb11fd3d38eb8fa9e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.14320",
    "kind": "arxiv",
    "version": 2
  }
}