Pith Number

pith:3BYVL3CF

pith:2012:3BYVL3CFZG5ACTQXDEJTFLBEEA

not attested not anchored not stored refs pending

Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action

Alexander A. Reshetnyak, Peter M. Lavrov

arxiv:1210.5651 v3 · 2012-10-20 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BYVL3CFZG5ACTQXDEJTFLBEEA}

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	2026-05-18T02:03:55.935522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87155ec45c9ba014e17191332ac242036f8d086b462947df45fab66ae594fe6

Aliases

arxiv: 1210.5651 · arxiv_version: 1210.5651v3 · doi: 10.48550/arxiv.1210.5651 · pith_short_12: 3BYVL3CFZG5A · pith_short_16: 3BYVL3CFZG5ACTQX · pith_short_8: 3BYVL3CF

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/3BYVL3CFZG5ACTQXDEJTFLBEEA \
  | 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: d87155ec45c9ba014e17191332ac242036f8d086b462947df45fab66ae594fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d67251256c30ce1e4b92e39924172e0b74b3dc90a689a7b73270ea62b2bdb0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-20T19:42:44Z",
    "title_canon_sha256": "30b198b5ff2f97432282ecaadcfa4f10ce89b80eb85bbac185d642956d90942d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5651",
    "kind": "arxiv",
    "version": 3
  }
}