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Pith Number

pith:3NEAIITP

pith:2013:3NEAIITPD6VECLH2SNPJXUJ6H5
not attested not anchored not stored refs pending

On Berezinskii-Kosterlitz-Thouless phase transition and universal breathing mode in two dimensional photon gas

J. Banerji, Prasanta K. Panigrahi, Vivek M. Vyas

arxiv:1308.0487 v1 · 2013-08-02 · physics.optics · cond-mat.quant-gas

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3NEAIITPD6VECLH2SNPJXUJ6H5}

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 2026-05-18T02:47:31.513100Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db4804226f1faa412cfa935e9bd13e3f79ab41d953b5e6f4a913d506ab2f63d2

Aliases

arxiv: 1308.0487 · arxiv_version: 1308.0487v1 · doi: 10.48550/arxiv.1308.0487 · pith_short_12: 3NEAIITPD6VE · pith_short_16: 3NEAIITPD6VECLH2 · pith_short_8: 3NEAIITP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3NEAIITPD6VECLH2SNPJXUJ6H5 \
  | 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: db4804226f1faa412cfa935e9bd13e3f79ab41d953b5e6f4a913d506ab2f63d2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "33328bdc2297807265355b73a0b41baa1d9bc0c88742f19c5f86d1d20f886946",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-08-02T13:00:49Z",
    "title_canon_sha256": "681bd37503033bc45bced20931adfef4329e90a750aa35d8fe9f5ccb01986e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0487",
    "kind": "arxiv",
    "version": 1
  }
}