Pith Number

pith:VKDRXBVX

pith:2002:VKDRXBVXUPZBVTOUNWAM36TVL5

not attested not anchored not stored refs pending

Free parameters in quantum field theories: an analysis of the variational approach

Fabio L. Braghin

arxiv:hep-ph/0211364 v3 · 2002-11-22 · hep-ph · hep-th · quant-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{VKDRXBVXUPZBVTOUNWAM36TVL5}

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	2026-05-18T01:37:23.754309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa871b86b7a3f21acdd46d80cdfa755f5eab872c7e33f94da130214fb7040f14

Aliases

arxiv: hep-ph/0211364 · arxiv_version: hep-ph/0211364v3 · doi: 10.48550/arxiv.hep-ph/0211364 · pith_short_12: VKDRXBVXUPZB · pith_short_16: VKDRXBVXUPZBVTOU · pith_short_8: VKDRXBVX

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/VKDRXBVXUPZBVTOUNWAM36TVL5 \
  | 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: aa871b86b7a3f21acdd46d80cdfa755f5eab872c7e33f94da130214fb7040f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b82c5073ccf6515da17d19e5a4756377764b7f134afcb0d2d19d7adf0084446",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-11-22T20:57:44Z",
    "title_canon_sha256": "145889336851faeb04bb3c88ad996fc8a0317d8fb5211286905704c8477aad86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0211364",
    "kind": "arxiv",
    "version": 3
  }
}