Pith Number

pith:3QETPJQ2

pith:2005:3QETPJQ2M2W3KQQT2ODIFXIW5Q

not attested not anchored not stored refs pending

Phase Transitions Patterns in Relativistic and Nonrelativistic Multi-Scalar-Field Models

Julia E. Parreira, Marcus Benghi Pinto, Rudnei O. Ramos

arxiv:hep-th/0506131 v2 · 2005-06-15 · 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{3QETPJQ2M2W3KQQT2ODIFXIW5Q}

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	2026-05-18T04:17:54.805815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0937a61a66adb54213d38682dd16ec04767e752a1d84af6bca8372682f7082

Aliases

arxiv: hep-th/0506131 · arxiv_version: hep-th/0506131v2 · doi: 10.48550/arxiv.hep-th/0506131 · pith_short_12: 3QETPJQ2M2W3 · pith_short_16: 3QETPJQ2M2W3KQQT · pith_short_8: 3QETPJQ2

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/3QETPJQ2M2W3KQQT2ODIFXIW5Q \
  | 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: dc0937a61a66adb54213d38682dd16ec04767e752a1d84af6bca8372682f7082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4085f6bd1e3a25c1c663e6831c07f64e151f4bbc3501e0a62a808366f0a61625",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-06-15T23:34:04Z",
    "title_canon_sha256": "670ccc29025bb1d62f5ac9f14055fa3514789620573b888cba0674eaba348c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0506131",
    "kind": "arxiv",
    "version": 2
  }
}