Pith Number

pith:S63K75CI

pith:2007:S63K75CITCTBH5WVFV4DDKDQTR

not attested not anchored not stored refs pending

Phase Structure of Thermal QED Based on the Hard Thermal Loop Improved Ladder Dyson-Schwinger Equation --a "Gauge Invariant" Solution--

Hiroshi Yokota, Hisao Nakkagawa, Koji Yoshida

arxiv:hep-ph/0703134 v1 · 2007-03-13 · 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{S63K75CITCTBH5WVFV4DDKDQTR}

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	2026-05-18T00:37:28.184769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b6aff44898a613f6d52d7831a8709c71b8c432beef8de5f60c9e6eb6a5b948

Aliases

arxiv: hep-ph/0703134 · arxiv_version: hep-ph/0703134v1 · doi: 10.48550/arxiv.hep-ph/0703134 · pith_short_12: S63K75CITCTB · pith_short_16: S63K75CITCTBH5WV · pith_short_8: S63K75CI

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/S63K75CITCTBH5WVFV4DDKDQTR \
  | 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: 97b6aff44898a613f6d52d7831a8709c71b8c432beef8de5f60c9e6eb6a5b948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8508aab8b34d88cc3abe3cf45ee68797027e015c01a7fa9eb14392c8ccfdc109",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-03-13T04:53:11Z",
    "title_canon_sha256": "18c554a26e8de980bfb586fcaf310a11c14f64ae5188a974b430ff24ade81921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0703134",
    "kind": "arxiv",
    "version": 1
  }
}