Pith Number

pith:4EFQ23BU

pith:2026:4EFQ23BUIDDCQX3VGOMQV2FO33

not attested not anchored not stored refs pending

Primordial black hole in Lorentz-violating theories: Insights from Bumblebee gravity

Javad T. Firouzjaee, Mohsen Khodadi

arxiv:2607.07011 v1 · 2026-07-08 · 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{4EFQ23BUIDDCQX3VGOMQV2FO33}

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	2026-07-09T01:20:12.436273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10b0d6c3440c6285f7533990ae8aedec3455e22ee4a02b1a33d1a70a10490eb

Aliases

arxiv: 2607.07011 · arxiv_version: 2607.07011v1 · doi: 10.48550/arxiv.2607.07011 · pith_short_12: 4EFQ23BUIDDC · pith_short_16: 4EFQ23BUIDDCQX3V · pith_short_8: 4EFQ23BU

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/4EFQ23BUIDDCQX3VGOMQV2FO33 \
  | 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: e10b0d6c3440c6285f7533990ae8aedec3455e22ee4a02b1a33d1a70a10490eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c54236dbb2fa9b9b7f7fc85b9ef50afde675de297c6bf4b9551bc60b0d5e142",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-08T05:13:19Z",
    "title_canon_sha256": "146c67b0be315b02453d83ba4c4d7c0149f6c5a362e9f0b59478ffa08fa3b136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07011",
    "kind": "arxiv",
    "version": 1
  }
}