Pith Number

pith:ZRX4PZTP

pith:2012:ZRX4PZTPS2LQQLCHDO5AIQ2VDV

not attested not anchored not stored refs pending

Spin coherent states with monopole harmonics on the Riemann sphere for the Kravchuk oscillator

Zouhair Mouayn

arxiv:1211.2408 v1 · 2012-11-11 · 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{ZRX4PZTPS2LQQLCHDO5AIQ2VDV}

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	2026-05-18T03:41:03.406678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6fc7e66f9697082c471bba0443551d5383780b30b69b72313ec583cd4b9604

Aliases

arxiv: 1211.2408 · arxiv_version: 1211.2408v1 · doi: 10.48550/arxiv.1211.2408 · pith_short_12: ZRX4PZTPS2LQ · pith_short_16: ZRX4PZTPS2LQQLCH · pith_short_8: ZRX4PZTP

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/ZRX4PZTPS2LQQLCHDO5AIQ2VDV \
  | 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: cc6fc7e66f9697082c471bba0443551d5383780b30b69b72313ec583cd4b9604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff8876fc78c0ce82ce00303f0733034e678eeb282609fabe5a1ae2ad939d1d6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-11T12:12:46Z",
    "title_canon_sha256": "714c29e2388bc503c8f5da6971de11769fc0c10f9ae3e89f69bee2398f04f02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2408",
    "kind": "arxiv",
    "version": 1
  }
}