Pith Number

pith:YMAW5KTM

pith:2026:YMAW5KTMFO2HKXIIBYX7BIKVXC

not attested not anchored not stored refs pending

A critical look at low-scale cosmological phase transitions in the PTA era

Philipp Schicho, Simone Biondini

arxiv:2607.02505 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{YMAW5KTMFO2HKXIIBYX7BIKVXC}

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	2026-07-03T01:18:01.351926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3016eaa6c2bb4755d080e2ff0a155b88f8e195fc6b1210a47f1fdb34d5fb861

Aliases

arxiv: 2607.02505 · arxiv_version: 2607.02505v1 · doi: 10.48550/arxiv.2607.02505 · pith_short_12: YMAW5KTMFO2H · pith_short_16: YMAW5KTMFO2HKXII · pith_short_8: YMAW5KTM

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/YMAW5KTMFO2HKXIIBYX7BIKVXC \
  | 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: c3016eaa6c2bb4755d080e2ff0a155b88f8e195fc6b1210a47f1fdb34d5fb861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19020ae86d7ff0e92b5658cf80984a7347ce552d85935bf25fd340430ea81cd",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-02T17:58:57Z",
    "title_canon_sha256": "e098f54b2ba58d5d8a4c563a339bee4b5194abc42b3c2214047133b719f0c4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02505",
    "kind": "arxiv",
    "version": 1
  }
}