Pith. sign in
Pith Number

pith:C5C6J4WG

pith:2019:C5C6J4WGDCZD4WYJJXS745LRFO
not attested not anchored not stored refs pending

Gauge Symmetries and Renormalization

David Prinz

arxiv:2001.00104 v4 · 2019-12-31 · math-ph · gr-qc · hep-th · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C5C6J4WGDCZD4WYJJXS745LRFO}

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

Receipt and verification
First computed 2026-07-05T04:54:43.545218Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1745e4f2c618b23e5b094de5fe75712bb6a240de507c0bfd7ad34dd370b879bf

Aliases

arxiv: 2001.00104 · arxiv_version: 2001.00104v4 · doi: 10.48550/arxiv.2001.00104 · pith_short_12: C5C6J4WGDCZD · pith_short_16: C5C6J4WGDCZD4WYJ · pith_short_8: C5C6J4WG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C5C6J4WGDCZD4WYJJXS745LRFO \
  | 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: 1745e4f2c618b23e5b094de5fe75712bb6a240de507c0bfd7ad34dd370b879bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e028b1b467aec2cb5e05a941a4000b511bc05d7487d435fde9e574ac5b1a12ef",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-12-31T22:50:07Z",
    "title_canon_sha256": "5e2a038c7fcf82450716a7df81d14deaa673e22212addf7a1599ea47c714f4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00104",
    "kind": "arxiv",
    "version": 4
  }
}