Pith Number

pith:GK6BI7QN

pith:2020:GK6BI7QNHL6VBILPLRPED5MXLD

not attested not anchored not stored refs pending

Hamiltonian Renormalisation V: Free Vector Bosons

Klaus Liegener, Thomas Thiemann

arxiv:2003.13059 v1 · 2020-03-29 · gr-qc · hep-lat · 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{GK6BI7QNHL6VBILPLRPED5MXLD}

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

Hamiltonian renormalisation IX. U(1)**3 quantum gravity

Receipt and verification

First computed	2026-07-05T03:26:56.780946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bc147e0d3afd50a16f5c5e41f59758fc036ae4aeb716536213495ef6aa97cd

Aliases

arxiv: 2003.13059 · arxiv_version: 2003.13059v1 · doi: 10.48550/arxiv.2003.13059 · pith_short_12: GK6BI7QNHL6V · pith_short_16: GK6BI7QNHL6VBILP · pith_short_8: GK6BI7QN

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/GK6BI7QNHL6VBILPLRPED5MXLD \
  | 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: 32bc147e0d3afd50a16f5c5e41f59758fc036ae4aeb716536213495ef6aa97cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3ff18e83ffa334df206cc4feb49f211a72d93a14e55063a710f6d792326966",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-29T15:57:45Z",
    "title_canon_sha256": "64235a8a50bce926cf26101343b0fb1e5a2f432d49235ea43765f4ebb3d2c78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13059",
    "kind": "arxiv",
    "version": 1
  }
}