Pith Number

pith:RFROTFVS

pith:2013:RFROTFVSOXUGSRYMIVTP2CDANV

not attested not anchored not stored refs pending

Symmetries shared by the Poincar\'e Group and the Poincar\'e Sphere

Marilyn E. Noz, Young S. Kim

arxiv:1306.2017 v1 · 2013-06-09 · 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{RFROTFVSOXUGSRYMIVTP2CDANV}

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	2026-05-18T03:19:14.669452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8962e996b275e869470c4566fd08606d55266159b76522617a278fe4da193724

Aliases

arxiv: 1306.2017 · arxiv_version: 1306.2017v1 · doi: 10.48550/arxiv.1306.2017 · pith_short_12: RFROTFVSOXUG · pith_short_16: RFROTFVSOXUGSRYM · pith_short_8: RFROTFVS

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/RFROTFVSOXUGSRYMIVTP2CDANV \
  | 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: 8962e996b275e869470c4566fd08606d55266159b76522617a278fe4da193724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4c6e595aad5f1e97cfd9933303357be744906bad0b89838aa6bbc6efe9852d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-09T13:11:48Z",
    "title_canon_sha256": "f700c1bb5c6ae46b7d0b12b325ef173b51d1caf06adc88616e550f0ee986b100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2017",
    "kind": "arxiv",
    "version": 1
  }
}