Pith Number

pith:O6UB4WWS

pith:2003:O6UB4WWSKJMBQFPQVMSVLNT3JA

not attested not anchored not stored refs pending

Renormalization Group and Decoupling in Curved Space: III. The Case of Spontaneous Symmetry Breaking

Eduard V. Gorbar, Ilya L. Shapiro

arxiv:hep-ph/0311190 v2 · 2003-11-14 · hep-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6UB4WWSKJMBQFPQVMSVLNT3JA}

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	2026-07-04T16:40:57.732068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a81e5ad252581815f0ab2555b67b481a4c5daecc5f7b3487179069b1637d24

Aliases

arxiv: hep-ph/0311190 · arxiv_version: hep-ph/0311190v2 · doi: 10.48550/arxiv.hep-ph/0311190 · pith_short_12: O6UB4WWSKJMB · pith_short_16: O6UB4WWSKJMBQFPQ · pith_short_8: O6UB4WWS

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/O6UB4WWSKJMBQFPQVMSVLNT3JA \
  | 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: 77a81e5ad252581815f0ab2555b67b481a4c5daecc5f7b3487179069b1637d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007d4ecb1bfc8a8feb8b9f4ccc8fec0e806b93fb6ec274a5b2489702c7531815",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-11-14T16:04:53Z",
    "title_canon_sha256": "bfb12c96e47327bdc662d16dd0b37237e4a4ae54d0dc877e994e18af0b6e230f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0311190",
    "kind": "arxiv",
    "version": 2
  }
}