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Pith Number

pith:OAK7LPEM

pith:2015:OAK7LPEMYA5FRYJ4MZDL36DWQU
not attested not anchored not stored refs pending

Quantum and Thermal Fluctuations and Pair-breaking in Planar QED

Kumar Abhinav, Prasanta K. Panigrahi

arxiv:1512.00656 v3 · 2015-12-02 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OAK7LPEMYA5FRYJ4MZDL36DWQU}

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 2026-05-18T01:19:18.344683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7015f5bc8cc03a58e13c6646bdf87685042f688f97c4486442407204e26d5df4

Aliases

arxiv: 1512.00656 · arxiv_version: 1512.00656v3 · doi: 10.48550/arxiv.1512.00656 · pith_short_12: OAK7LPEMYA5F · pith_short_16: OAK7LPEMYA5FRYJ4 · pith_short_8: OAK7LPEM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OAK7LPEMYA5FRYJ4MZDL36DWQU \
  | 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: 7015f5bc8cc03a58e13c6646bdf87685042f688f97c4486442407204e26d5df4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4158da9941185f4192d452ee8c376d92943323b65f3b7d485ae02eec8054ac80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-02T11:37:27Z",
    "title_canon_sha256": "11ed3cdbce200258ad1b42c180ae719599d5c803ab482a33fbf0aefc153d60f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00656",
    "kind": "arxiv",
    "version": 3
  }
}