Pith Number

pith:X7KK7XUM

pith:2021:X7KK7XUMHG4YR7IODS65X6FPIK

not attested not anchored not stored refs pending

The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere

L. Q. Lai, Q. H. Liu, Y. Zhong, Z. Li

arxiv:2103.03408 v2 · 2021-03-05 · hep-th · math-ph · math.MP · quant-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{X7KK7XUMHG4YR7IODS65X6FPIK}

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	2026-07-05T04:20:28.031044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd4afde8c39b988fd0e1cbddbf8af4282d03806555592a5317dc78ea255338c

Aliases

arxiv: 2103.03408 · arxiv_version: 2103.03408v2 · doi: 10.48550/arxiv.2103.03408 · pith_short_12: X7KK7XUMHG4Y · pith_short_16: X7KK7XUMHG4YR7IO · pith_short_8: X7KK7XUM

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/X7KK7XUMHG4YR7IODS65X6FPIK \
  | 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: bfd4afde8c39b988fd0e1cbddbf8af4282d03806555592a5317dc78ea255338c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172ba73cbd224e7909815626c8b7c3e19a55ea5de960155694691cd3b2615ce1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-05T00:44:42Z",
    "title_canon_sha256": "b7b8a7f0556633995e76d43e41541ba684199be0bd5744402f6358158ace0bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03408",
    "kind": "arxiv",
    "version": 2
  }
}