Pith Number

pith:HMTYTIIU

pith:2014:HMTYTIIUHDWMNIHTA6CSA36HFD

not attested not anchored not stored refs pending

A Compact Formula for Rotations as Spin Matrix Polynomials

Cosmas K. Zachos, David B. Fairlie, Thomas L. Curtright

arxiv:1402.3541 v5 · 2014-02-14 · math-ph · hep-th · 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{HMTYTIIUHDWMNIHTA6CSA36HFD}

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	2026-05-18T00:49:35.324275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2789a11438ecc6a0f30785206fc728c744197225d1bc6a47e8afe6680396e2

Aliases

arxiv: 1402.3541 · arxiv_version: 1402.3541v5 · doi: 10.48550/arxiv.1402.3541 · pith_short_12: HMTYTIIUHDWM · pith_short_16: HMTYTIIUHDWMNIHT · pith_short_8: HMTYTIIU

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/HMTYTIIUHDWMNIHTA6CSA36HFD \
  | 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: 3b2789a11438ecc6a0f30785206fc728c744197225d1bc6a47e8afe6680396e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6677afb669a2ad1b0c99e41e10fbc535d4d4130ead78d00227dc0561e87c2d9d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-14T17:52:46Z",
    "title_canon_sha256": "b297b2b77027eae1950c646d4dd0669e17271f12c6f66ea000125d16fdf2157f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3541",
    "kind": "arxiv",
    "version": 5
  }
}