Pith Number

pith:XV6HR726

pith:2015:XV6HR726V3URVQFKBT4T3Y3IE5

not attested not anchored not stored refs pending

The O(3,2) Symmetry derivable from the Poincar\'e Sphere

Y.S. Kim

arxiv:1505.07715 v1 · 2015-05-28 · 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{XV6HR726V3URVQFKBT4T3Y3IE5}

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	2026-05-18T02:00:56.023180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7c78ff5eaee91ac0aa0cf93de368275fb1664de33e0cd8d744ec3444cdf855

Aliases

arxiv: 1505.07715 · arxiv_version: 1505.07715v1 · doi: 10.48550/arxiv.1505.07715 · pith_short_12: XV6HR726V3UR · pith_short_16: XV6HR726V3URVQFK · pith_short_8: XV6HR726

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/XV6HR726V3URVQFKBT4T3Y3IE5 \
  | 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: bd7c78ff5eaee91ac0aa0cf93de368275fb1664de33e0cd8d744ec3444cdf855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4d7c96f41d194feb3021e997fab437b7d896e2df28da64e6a8f9540e66b7d6",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-28T15:02:54Z",
    "title_canon_sha256": "ce1f8f65bb25a19ca317594819ec9bcf47c7bea5f6b343ee67882124cc7f8035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07715",
    "kind": "arxiv",
    "version": 1
  }
}