Pith Number

pith:KOO4J3UW

pith:2016:KOO4J3UWIKEAXZCNPLCHXOU4C7

not attested not anchored not stored refs pending

Does a band structure affect sphaleron processes?

Eibun Senaha, Kaori Fuyuto, Koichi Funakubo

arxiv:1612.05431 v1 · 2016-12-16 · hep-ph · 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{KOO4J3UWIKEAXZCNPLCHXOU4C7}

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	2026-05-18T00:54:51.822380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539dc4ee9642880be44d7ac47bba9c17c66780113275115618925b842cbf71ce

Aliases

arxiv: 1612.05431 · arxiv_version: 1612.05431v1 · doi: 10.48550/arxiv.1612.05431 · pith_short_12: KOO4J3UWIKEA · pith_short_16: KOO4J3UWIKEAXZCN · pith_short_8: KOO4J3UW

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/KOO4J3UWIKEAXZCNPLCHXOU4C7 \
  | 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: 539dc4ee9642880be44d7ac47bba9c17c66780113275115618925b842cbf71ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b70db34968bb6aa4b17df8ac16c74f6238f80f6ea6672384591fcfeea6e6a8e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-12-16T11:03:09Z",
    "title_canon_sha256": "87bc862f082f257c87a0941a19e8aed7ea1afbebe0ed5a2d4ee144fdc5b95224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05431",
    "kind": "arxiv",
    "version": 1
  }
}