Pith Number

pith:MGC3MKHR

pith:2013:MGC3MKHROANX6G4VDB44ZDKYRR

not attested not anchored not stored refs pending

Quantum mechanical perspectives and generalization of the fractional Fourier Transformation

Hong-yi Fan, Jun-Hua Chen

arxiv:1307.6271 v3 · 2013-07-24 · 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{MGC3MKHROANX6G4VDB44ZDKYRR}

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	2026-05-18T02:44:32.179378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6185b628f1701b7f1b951879cc8d588c4f28a475a22fef70e47a10b24f01e213

Aliases

arxiv: 1307.6271 · arxiv_version: 1307.6271v3 · doi: 10.48550/arxiv.1307.6271 · pith_short_12: MGC3MKHROANX · pith_short_16: MGC3MKHROANX6G4V · pith_short_8: MGC3MKHR

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/MGC3MKHROANX6G4VDB44ZDKYRR \
  | 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: 6185b628f1701b7f1b951879cc8d588c4f28a475a22fef70e47a10b24f01e213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250fca07b9d46731258f73645d7dc8473b4c2f69b8ee6d33679fa5ae2aa3bc38",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-24T00:17:57Z",
    "title_canon_sha256": "4832aa61da89c264db0ab0adca99f455d2bb8878a6eaa02e61189d26f44e64f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6271",
    "kind": "arxiv",
    "version": 3
  }
}