Pith Number

pith:ZEOWA6X4

pith:2025:ZEOWA6X4NOBZQH4D7FJ65L7FLG

not attested not anchored not stored refs pending

Nonrelativistic effective potential of the bumblebee model

A. Yu. Petrov, C. Furtado, J. R. Nascimento, P. Porfirio

arxiv:2512.17507 v2 · 2025-12-19 · 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{ZEOWA6X4NOBZQH4D7FJ65L7FLG}

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	2026-06-09T01:05:11.931449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91d607afc6b83981f83f953eeafe5598e1cbd14c7fdb53e2fc76117e538f713

Aliases

arxiv: 2512.17507 · arxiv_version: 2512.17507v2 · doi: 10.48550/arxiv.2512.17507 · pith_short_12: ZEOWA6X4NOBZ · pith_short_16: ZEOWA6X4NOBZQH4D · pith_short_8: ZEOWA6X4

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/ZEOWA6X4NOBZQH4D7FJ65L7FLG \
  | 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: c91d607afc6b83981f83f953eeafe5598e1cbd14c7fdb53e2fc76117e538f713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5adcb2c384a440096a53f26ab8a409472439fae3a0ec440964eda425f81839e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-19T12:16:03Z",
    "title_canon_sha256": "b7d18dc6684c74450ce009fb321948bdb72764a516cb682053c04faa22e851ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17507",
    "kind": "arxiv",
    "version": 2
  }
}