Pith Number

pith:GL7UZKT2

pith:1993:GL7UZKT2ZBTB6SVDQWHPIDDJJZ

not attested not anchored not stored refs pending

The Sphaleron Barrier in the Presence of Fermions

Guido Nolte, Jutta Kunz

arxiv:hep-ph/9308290 v1 · 1993-08-18 · 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{GL7UZKT2ZBTB6SVDQWHPIDDJJZ}

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	2026-07-04T15:55:50.354064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ff4caa7ac8661f4aa3858ef40c694e5ba66dae81943421e1565f568a1edbaa

Aliases

arxiv: hep-ph/9308290 · arxiv_version: hep-ph/9308290v1 · doi: 10.48550/arxiv.hep-ph/9308290 · pith_short_12: GL7UZKT2ZBTB · pith_short_16: GL7UZKT2ZBTB6SVD · pith_short_8: GL7UZKT2

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/GL7UZKT2ZBTB6SVDQWHPIDDJJZ \
  | 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: 32ff4caa7ac8661f4aa3858ef40c694e5ba66dae81943421e1565f568a1edbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68bc727dedc0d0179203d3bce45bef20abd9fca2e088f0b908565f5b138a0d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-08-18T16:07:49Z",
    "title_canon_sha256": "6093f4852418cd0768f9a8817d5d0375e6fe4a5318a1018d20d9bdc6d1381d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9308290",
    "kind": "arxiv",
    "version": 1
  }
}