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Pith Number

pith:B4UKZMRK

pith:2016:B4UKZMRKCYDSH5GMKKTDQNAAK6
not attested not anchored not stored refs pending

Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry

Domenico Monaco, Gianluca Panati

arxiv:1601.02906 v1 · 2016-01-12 · math-ph · cond-mat.mes-hall · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B4UKZMRKCYDSH5GMKKTDQNAAK6}

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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.
Receipt and verification
First computed 2026-05-18T01:22:59.362862Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0f28acb22a160723f4cc52a638340057bb388f9d1fce717e5306e9ee5ed78615

Aliases

arxiv: 1601.02906 · arxiv_version: 1601.02906v1 · doi: 10.48550/arxiv.1601.02906 · pith_short_12: B4UKZMRKCYDS · pith_short_16: B4UKZMRKCYDSH5GM · pith_short_8: B4UKZMRK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B4UKZMRKCYDSH5GMKKTDQNAAK6 \
  | 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: 0f28acb22a160723f4cc52a638340057bb388f9d1fce717e5306e9ee5ed78615
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a3bd324684c142b8c0c5c15468123f4860729f592dd42905c031a8e003a3a2d",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-12T15:25:18Z",
    "title_canon_sha256": "898cdb2c7434e930b0b3a762e9e091c4d519298efd769446b88e2fddf318dabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02906",
    "kind": "arxiv",
    "version": 1
  }
}