Pith Number

pith:QIV7LJCL

pith:2025:QIV7LJCLSFR7XZAXHX4YJGJJAR

not attested not anchored not stored refs pending

SU(2) gadget for higher-order Poincar\'{e} sphere

Mohammad Umar, Paramasivam Senthilkumaran

arxiv:2509.10964 v1 · 2025-09-13 · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIV7LJCLSFR7XZAXHX4YJGJJAR}

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	2026-07-05T12:11:31.227014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822bf5a44b9163fbe4173df9849929045eb87bc58c5fd6478f93533e26cd7d4a

Aliases

arxiv: 2509.10964 · arxiv_version: 2509.10964v1 · doi: 10.48550/arxiv.2509.10964 · pith_short_12: QIV7LJCLSFR7 · pith_short_16: QIV7LJCLSFR7XZAX · pith_short_8: QIV7LJCL

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/QIV7LJCLSFR7XZAXHX4YJGJJAR \
  | 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: 822bf5a44b9163fbe4173df9849929045eb87bc58c5fd6478f93533e26cd7d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8edcf89fa62277ff465d72d24ed84dba8e9393d2c6d55e0c0f6226f2ba1517eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-09-13T19:45:28Z",
    "title_canon_sha256": "957b22c62b51aa497ee9432c55ff0047106dfc6db2116aac818742338f7b59dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10964",
    "kind": "arxiv",
    "version": 1
  }
}