Pith Number

pith:4KEOIK6Z

pith:2004:4KEOIK6ZZZIMNSX2CJXM4HYEYE

not attested not anchored not stored refs pending

Analytical approach to SU(2) Yang-Mills thermodynamics

Ralf Hofmann

arxiv:hep-ph/0408130 v1 · 2004-08-10 · 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{4KEOIK6ZZZIMNSX2CJXM4HYEYE}

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	2026-05-18T00:37:28.742800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e288e42bd9ce50c6cafa126ece1f04c111e488d43f0dddb417c233ba40b34e65

Aliases

arxiv: hep-ph/0408130 · arxiv_version: hep-ph/0408130v1 · doi: 10.48550/arxiv.hep-ph/0408130 · pith_short_12: 4KEOIK6ZZZIM · pith_short_16: 4KEOIK6ZZZIMNSX2 · pith_short_8: 4KEOIK6Z

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/4KEOIK6ZZZIMNSX2CJXM4HYEYE \
  | 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: e288e42bd9ce50c6cafa126ece1f04c111e488d43f0dddb417c233ba40b34e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89a87b3ff19bc9a82d775ce8184df5791c3fcd38bce1ee0f72d18b6a4b50f7d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-08-10T14:26:26Z",
    "title_canon_sha256": "e870fc675643a9e6e9dbcb7b8f6150c7098f5a4dde469f6d7ec56bb2ba0dc4c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0408130",
    "kind": "arxiv",
    "version": 1
  }
}