Pith Number

pith:PZGLKB65

pith:2025:PZGLKB65WEODRAKXM3OAEBVSPL

not attested not anchored not stored refs pending

A Lattice Physics Approach to Spin-Networks in Loop Quantum Gravity

Noah M. MacKay

arxiv:2507.14630 v1 · 2025-07-19 · gr-qc · cond-mat.other · 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{PZGLKB65WEODRAKXM3OAEBVSPL}

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	2026-07-05T11:40:10.857753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4cb507ddb11c38815766dc0206b27aeb30530136afd1de24c92bc43edee204

Aliases

arxiv: 2507.14630 · arxiv_version: 2507.14630v1 · doi: 10.48550/arxiv.2507.14630 · pith_short_12: PZGLKB65WEOD · pith_short_16: PZGLKB65WEODRAKX · pith_short_8: PZGLKB65

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/PZGLKB65WEODRAKXM3OAEBVSPL \
  | 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: 7e4cb507ddb11c38815766dc0206b27aeb30530136afd1de24c92bc43edee204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9187f58c79075db56a4c646855669a76eac64312c7e0f3389d888758fcd7ca81",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-19T13:54:04Z",
    "title_canon_sha256": "fb45b94a4e3cefa202783bafac09539a02e79ae0ca367020f1cd864fb8b0d876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14630",
    "kind": "arxiv",
    "version": 1
  }
}