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Pith Number

pith:IFFWEIX3

pith:1998:IFFWEIX3GOQ64JEADZHC6VJ3YZ
not attested not anchored not stored refs pending

Gauge theory of phase and scale

Marek Pawlowski

arxiv:hep-ph/9804256 v1 · 1998-04-08 · hep-ph · astro-ph · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IFFWEIX3GOQ64JEADZHC6VJ3YZ}

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 2026-05-18T04:23:55.080243Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

414b6222fb33a1ee24801e4e2f553bc6758ed49b7d8052dd899d6d2575358ab8

Aliases

arxiv: hep-ph/9804256 · arxiv_version: hep-ph/9804256v1 · doi: 10.48550/arxiv.hep-ph/9804256 · pith_short_12: IFFWEIX3GOQ6 · pith_short_16: IFFWEIX3GOQ64JEA · pith_short_8: IFFWEIX3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IFFWEIX3GOQ64JEADZHC6VJ3YZ \
  | 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: 414b6222fb33a1ee24801e4e2f553bc6758ed49b7d8052dd899d6d2575358ab8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02f67f157d842bd734f92c384661113faef4ac15f320e04bf76fb203fe356320",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-08T10:14:22Z",
    "title_canon_sha256": "084660dacd2e994894dd883ae5974054d6ba00dc67808f997f07cc2e11a7dd0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804256",
    "kind": "arxiv",
    "version": 1
  }
}