Pith Number

pith:GL4UOOLB

pith:2000:GL4UOOLBLYWX7KHTK4CMTVS36J

not attested not anchored not stored refs pending

Historical roots of gauge invariance

J. D. Jackson (LBNL), L. B. Okun (ITEP)

arxiv:hep-ph/0012061 v5 · 2000-12-06 · hep-ph · physics.ed-ph · physics.hist-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{GL4UOOLBLYWX7KHTK4CMTVS36J}

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.

Cited by

1 paper in Pith

Chukchi Myths perspective on Special Relativity

Receipt and verification

First computed	2026-07-04T15:53:35.211635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f94739615e2d7fa8f35704c9d65bf2490d6958c60890e4cea2fc07f3a61f95

Aliases

arxiv: hep-ph/0012061 · arxiv_version: hep-ph/0012061v5 · doi: 10.48550/arxiv.hep-ph/0012061 · pith_short_12: GL4UOOLBLYWX · pith_short_16: GL4UOOLBLYWX7KHT · pith_short_8: GL4UOOLB

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/GL4UOOLBLYWX7KHTK4CMTVS36J \
  | 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: 32f94739615e2d7fa8f35704c9d65bf2490d6958c60890e4cea2fc07f3a61f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3478df6a8f96ac4c8b44fef87171b206f3e7a90c0a8258aaefadd2c623a380",
    "cross_cats_sorted": [
      "physics.ed-ph",
      "physics.hist-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-06T00:19:15Z",
    "title_canon_sha256": "6cc5ad22b8a6eddb38f0d95ff6f8a9ac1e714978c0a23c8333224cbc9981eebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012061",
    "kind": "arxiv",
    "version": 5
  }
}