Pith Number

pith:HL5XZSHP

pith:2010:HL5XZSHPZ64RMI6CJWCWCUTBFL

not attested not anchored not stored refs pending

Rotating Electroweak Sphaleron-Antisphaleron Systems

Burkhard Kleihaus, Jutta Kunz, Michael Leissner, Rustam Ibadov

arxiv:1001.3027 v1 · 2010-01-18 · 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{HL5XZSHPZ64RMI6CJWCWCUTBFL}

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	2026-05-18T02:09:43.072766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afb7cc8efcfb91623c24d856152612acf12e583fbfb8cda0f358bdb666c8c02

Aliases

arxiv: 1001.3027 · arxiv_version: 1001.3027v1 · doi: 10.48550/arxiv.1001.3027 · pith_short_12: HL5XZSHPZ64R · pith_short_16: HL5XZSHPZ64RMI6C · pith_short_8: HL5XZSHP

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/HL5XZSHPZ64RMI6CJWCWCUTBFL \
  | 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: 3afb7cc8efcfb91623c24d856152612acf12e583fbfb8cda0f358bdb666c8c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111efe4e9385d45f84bf53998ac844f04a7a3218c8ae6b15fcc6a9e2fb7cb1b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-01-18T11:42:23Z",
    "title_canon_sha256": "f7b5f90da196b4c3563ddc0a834bc500ee0f7ce0d3778aa073cf7d3332e9a502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3027",
    "kind": "arxiv",
    "version": 1
  }
}