Pith Number

pith:XGC2QNZU

pith:2004:XGC2QNZU7DFVBLCFUEBFJMFJWD

not attested not anchored not stored refs pending

Isolating vacuum amplitudes in quantum field calculations at finite temperature

Jean-Paul Blaizot, Urko Reinosa

arxiv:hep-ph/0406109 v1 · 2004-06-09 · 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{XGC2QNZU7DFVBLCFUEBFJMFJWD}

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	2026-05-18T01:39:05.635618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b985a83734f8cb50ac45a10254b0a9b0d5fdcda3db96e27db4678cf4030202fa

Aliases

arxiv: hep-ph/0406109 · arxiv_version: hep-ph/0406109v1 · doi: 10.48550/arxiv.hep-ph/0406109 · pith_short_12: XGC2QNZU7DFV · pith_short_16: XGC2QNZU7DFVBLCF · pith_short_8: XGC2QNZU

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/XGC2QNZU7DFVBLCFUEBFJMFJWD \
  | 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: b985a83734f8cb50ac45a10254b0a9b0d5fdcda3db96e27db4678cf4030202fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fecbf68cffc35bc707dce025ac15c4286581f08cadcb0293e04c5656022aa87f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-06-09T18:52:57Z",
    "title_canon_sha256": "8329dfdce9cd30839ea3bfb8b18e0053f5f7c528af7e4a2904b8b28cb8349309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0406109",
    "kind": "arxiv",
    "version": 1
  }
}