Pith Number

pith:REP6SBCM

pith:2026:REP6SBCMPGY3SGTLA5HZA2UJLT

not attested not anchored not stored refs pending

Gravitational Waves from Multiple First-Order Phase Transitions in a Scenario with Early Matter Domination

Fazlollah Hajkarim, Rouzbeh Allahverdi

arxiv:2607.01697 v1 · 2026-07-02 · hep-ph · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REP6SBCMPGY3SGTLA5HZA2UJLT}

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	2026-07-03T01:17:27.029094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891fe9044c79b1b91a6b074f906a895ce670981639a1df769ea7a3d5a0137463

Aliases

arxiv: 2607.01697 · arxiv_version: 2607.01697v1 · doi: 10.48550/arxiv.2607.01697 · pith_short_12: REP6SBCMPGY3 · pith_short_16: REP6SBCMPGY3SGTL · pith_short_8: REP6SBCM

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/REP6SBCMPGY3SGTLA5HZA2UJLT \
  | 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: 891fe9044c79b1b91a6b074f906a895ce670981639a1df769ea7a3d5a0137463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6093b875fb529e35b8cf734f9a977dcb444010b3a893fa9e22e97519789360f6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-02T04:41:30Z",
    "title_canon_sha256": "981d0bba5468aa9c1b7590ce61ab4feb5a384cb9e8b3aa39ea62359949bcddbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01697",
    "kind": "arxiv",
    "version": 1
  }
}