Pith Number

pith:36VNHYMX

pith:2025:36VNHYMXO2QPFV4BSZOPSR7XFA

not attested not anchored not stored refs pending

Discrete Approximations to U(1) Principal Bundles in Abelian Gauge Theory

Hyungrok Kim, Leron Borsten

arxiv:2512.22114 v3 · 2025-12-26 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36VNHYMXO2QPFV4BSZOPSR7XFA}

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	2026-07-07T02:18:32.099036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfaad3e19776a0f2d781965cf947f728272f5874d5f0a3cc2b3862a98e71e4e2

Aliases

arxiv: 2512.22114 · arxiv_version: 2512.22114v3 · doi: 10.48550/arxiv.2512.22114 · pith_short_12: 36VNHYMXO2QP · pith_short_16: 36VNHYMXO2QPFV4B · pith_short_8: 36VNHYMX

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/36VNHYMXO2QPFV4BSZOPSR7XFA \
  | 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: dfaad3e19776a0f2d781965cf947f728272f5874d5f0a3cc2b3862a98e71e4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32fcff2d60e74415dd3517cbad76a350bbcf2abfaa3624d363c93d88aa91c4bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-26T18:56:38Z",
    "title_canon_sha256": "08f0d637d4810d1e0fd167206bc2b7123883f0e2451833d50c05b6432a34ed01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22114",
    "kind": "arxiv",
    "version": 3
  }
}