Pith Number

pith:RSV5YW4T

pith:2012:RSV5YW4T5JBGPM7Q47MPM7T2KA

not attested not anchored not stored refs pending

Light beams with general direction and polarization: global description and geometric phase

R. Nityananda, S. Sridhar

arxiv:1212.0943 v1 · 2012-12-05 · physics.optics · 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{RSV5YW4T5JBGPM7Q47MPM7T2KA}

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	2026-05-18T03:39:06.873486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cabdc5b93ea4267b3f0e7d8f67e7a50001304ad856c883580317dbdfea1b13a

Aliases

arxiv: 1212.0943 · arxiv_version: 1212.0943v1 · doi: 10.48550/arxiv.1212.0943 · pith_short_12: RSV5YW4T5JBG · pith_short_16: RSV5YW4T5JBGPM7Q · pith_short_8: RSV5YW4T

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/RSV5YW4T5JBGPM7Q47MPM7T2KA \
  | 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: 8cabdc5b93ea4267b3f0e7d8f67e7a50001304ad856c883580317dbdfea1b13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afe411d8a8ebc28ccf7c40ae1083aec075e76ab2fb170bd851cf99312147f6e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-12-05T07:02:33Z",
    "title_canon_sha256": "00dd1fc9e1b56884998e1a61c93d2c621dae3b6bec88c29f2bbbb72dddf348f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0943",
    "kind": "arxiv",
    "version": 1
  }
}