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Pith Number

pith:XBOJOPHA

pith:2005:XBOJOPHAV2AU47TJQTC4K2JXR3
not attested not anchored not stored refs pending

Geometrical Spinoptics and the Optical Hall Effect

Christian Duval (CPT), Peter Horvathy (LMPT), Zalan Horvath (ITP)

arxiv:math-ph/0509031 v3 · 2005-09-14 · math-ph · hep-th · math.MP · math.SG · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XBOJOPHAV2AU47TJQTC4K2JXR3}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T01:38:33.042542Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b85c973ce0ae814e7e6984c5c569378edc62ae37474abf5e2e443b600272125c

Aliases

arxiv: math-ph/0509031 · arxiv_version: math-ph/0509031v3 · doi: 10.48550/arxiv.math-ph/0509031 · pith_short_12: XBOJOPHAV2AU · pith_short_16: XBOJOPHAV2AU47TJ · pith_short_8: XBOJOPHA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XBOJOPHAV2AU47TJQTC4K2JXR3 \
  | 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: b85c973ce0ae814e7e6984c5c569378edc62ae37474abf5e2e443b600272125c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae21dc0ae617f40e65045d8fb4f8c08a910a75467b5a329d09baf3181ffc337b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.SG",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-09-14T15:35:49Z",
    "title_canon_sha256": "27f5bc6009663febdc8ea80b01acf4a66b8d7159a3ed37ddd285ea36c539dcc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0509031",
    "kind": "arxiv",
    "version": 3
  }
}