Pith Number

pith:2N2BBC4P

pith:1993:2N2BBC4P5ENSHJLHZ3QLXPT2GS

not attested not anchored not stored refs pending

Electroweak bubbles and sphalerons

Jutta Kunz, Yves Brihaye

arxiv:hep-ph/9304256 v1 · 1993-04-15 · 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{2N2BBC4P5ENSHJLHZ3QLXPT2GS}

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	2026-07-04T15:55:46.286220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d374108b8fe91b23a567cee0bbbe7a34b6006dcc3682bd71287e492c4d6036c2

Aliases

arxiv: hep-ph/9304256 · arxiv_version: hep-ph/9304256v1 · doi: 10.48550/arxiv.hep-ph/9304256 · pith_short_12: 2N2BBC4P5ENS · pith_short_16: 2N2BBC4P5ENSHJLH · pith_short_8: 2N2BBC4P

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/2N2BBC4P5ENSHJLHZ3QLXPT2GS \
  | 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: d374108b8fe91b23a567cee0bbbe7a34b6006dcc3682bd71287e492c4d6036c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c73017c42b1321c48290968fa7c49a7025383c172c8fe85c08e500b31a6aff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-04-15T14:23:32Z",
    "title_canon_sha256": "74fc200319c4a45a1a2e0efae1b55a81921c29663b83dbf81af579b6ca7a6234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9304256",
    "kind": "arxiv",
    "version": 1
  }
}