pith. sign in
Pith Number

pith:Z53T2BIQ

pith:2015:Z53T2BIQEJ53Y45HFSRZQUK4WH
not attested not anchored not stored refs pending

Stueckelberg model and Composite Z'

Michio Hashimoto

arxiv:1504.08180 v1 · 2015-04-30 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z53T2BIQEJ53Y45HFSRZQUK4WH}

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 2026-05-18T02:17:23.111826Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf773d0510227bbc73a72ca398515cb1e04bc35458af04dac37749dc9dea5f0f

Aliases

arxiv: 1504.08180 · arxiv_version: 1504.08180v1 · doi: 10.48550/arxiv.1504.08180 · pith_short_12: Z53T2BIQEJ53 · pith_short_16: Z53T2BIQEJ53Y45H · pith_short_8: Z53T2BIQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z53T2BIQEJ53Y45HFSRZQUK4WH \
  | 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: cf773d0510227bbc73a72ca398515cb1e04bc35458af04dac37749dc9dea5f0f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e1db75b0d80a4c97360103b8f014257922a20369535657d1c50c29bd98d1a401",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-04-30T11:57:37Z",
    "title_canon_sha256": "d615f09a491da0bfe5b646d60f0506c66ff523003fb504b14a15320d43c58148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08180",
    "kind": "arxiv",
    "version": 1
  }
}