Pith Number

pith:WJ2LF5TH

pith:2024:WJ2LF5THDJ6GT26JXJAKAF3J2I

not attested not anchored not stored refs pending

Lorentz Transformation of the Energy Spectrum of the Equilibrium State of Massive Free Fields

H. T. Quan, Ruohan Xu, Tingzhang Shi

arxiv:2412.20817 v1 · 2024-12-30 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJ2LF5THDJ6GT26JXJAKAF3J2I}

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	2026-07-05T09:55:22.846129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b274b2f6671a7c69ebc9ba40a01769d20dc31e99ebe74ea203d5c332571d21ba

Aliases

arxiv: 2412.20817 · arxiv_version: 2412.20817v1 · doi: 10.48550/arxiv.2412.20817 · pith_short_12: WJ2LF5THDJ6G · pith_short_16: WJ2LF5THDJ6GT26J · pith_short_8: WJ2LF5TH

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/WJ2LF5THDJ6GT26JXJAKAF3J2I \
  | 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: b274b2f6671a7c69ebc9ba40a01769d20dc31e99ebe74ea203d5c332571d21ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff71f575c0dcc6cb97a42fbff466d4d899c82557c6f165d90318486a2e499447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-30T09:12:52Z",
    "title_canon_sha256": "745498d40d18b105262614054ecde2cea3dd0df27ef0b4f409989b800ffece4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20817",
    "kind": "arxiv",
    "version": 1
  }
}