Pith Number

pith:YVH5D4QM

pith:2025:YVH5D4QMONVCUAX5YM7NRJL5MI

not attested not anchored not stored refs pending

Phase Transitions at Unusual Values of $\theta$

Csaba Cs\'aki, Hitoshi Murayama, Ofri Telem, Teruhiko Kawano

arxiv:2506.14879 v2 · 2025-06-17 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVH5D4QMONVCUAX5YM7NRJL5MI}

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	2026-07-05T11:38:30.354450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54fd1f20c736a2a02fdc33ed8a57d6211bd64b3c42d86ecfd178ec65cea66ad

Aliases

arxiv: 2506.14879 · arxiv_version: 2506.14879v2 · doi: 10.48550/arxiv.2506.14879 · pith_short_12: YVH5D4QMONVC · pith_short_16: YVH5D4QMONVCUAX5 · pith_short_8: YVH5D4QM

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/YVH5D4QMONVCUAX5YM7NRJL5MI \
  | 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: c54fd1f20c736a2a02fdc33ed8a57d6211bd64b3c42d86ecfd178ec65cea66ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae71efe9ab94f1fa07bd3967b0c68eb7e385c6d41ec648656979964a6962202d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-17T18:00:02Z",
    "title_canon_sha256": "782f55e24fff414b69193148cded19ec0b1bfb026c059803e30210449313e382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14879",
    "kind": "arxiv",
    "version": 2
  }
}