Pith Number

pith:U3O7SOG7

pith:2026:U3O7SOG7UFYLZ7RO3JKHOYVZWA

not attested not anchored not stored refs pending

Quantum Field Theory Of Cosmological Perturbations Induced By Ultralight Dark Matter

Marco Vecchioni, Tomislav Prokopec

arxiv:2607.27133 v1 · 2026-07-29 · hep-th · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3O7SOG7UFYLZ7RO3JKHOYVZWA}

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	2026-07-30T01:23:49.907744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a6ddf938dfa170bcfe2eda547762b9b01b0d6cbf7be79dd7c856ea65a14a964a

Aliases

arxiv: 2607.27133 · arxiv_version: 2607.27133v1 · doi: 10.48550/arxiv.2607.27133 · pith_short_12: U3O7SOG7UFYL · pith_short_16: U3O7SOG7UFYLZ7RO · pith_short_8: U3O7SOG7

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/U3O7SOG7UFYLZ7RO3JKHOYVZWA \
  | 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: a6ddf938dfa170bcfe2eda547762b9b01b0d6cbf7be79dd7c856ea65a14a964a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770c45c750938f2e33a829e0220fc98b9d4837fa40d6f4f528181ffc3d8a1c25",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-29T17:04:12Z",
    "title_canon_sha256": "4918e76d86c82bd0dfb5cb542e5ca6256586c4c4345403bee711ac61473f2800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27133",
    "kind": "arxiv",
    "version": 1
  }
}