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Pith Number

pith:GHJHILFP

pith:2013:GHJHILFPVXDETUFZOFTX4ZQTQW
not attested not anchored not stored refs pending

Dual and anti-dual modes in dielectric spheres

Gabriel Molina-Terriza, Mathieu L. Juan, Xavier Vidal, Xavier Zambrana-Puyalto

arxiv:1305.2019 v1 · 2013-05-09 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GHJHILFPVXDETUFZOFTX4ZQTQW}

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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

5 papers in Pith

Receipt and verification
First computed 2026-05-18T03:18:19.927453Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

31d2742cafadc649d0b971677e6613859123b212412f55e92313b209b7a83acf

Aliases

arxiv: 1305.2019 · arxiv_version: 1305.2019v1 · doi: 10.48550/arxiv.1305.2019 · pith_short_12: GHJHILFPVXDE · pith_short_16: GHJHILFPVXDETUFZ · pith_short_8: GHJHILFP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GHJHILFPVXDETUFZOFTX4ZQTQW \
  | 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: 31d2742cafadc649d0b971677e6613859123b212412f55e92313b209b7a83acf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a4473ac2879a6ee368466a084e558bae578514ef84b06cecf766f57b9eea16c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-09T07:14:38Z",
    "title_canon_sha256": "1fd398bb6beb53e099de2b08a09c654cf03b297873c314297d83c4faad99b3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2019",
    "kind": "arxiv",
    "version": 1
  }
}