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Pith Number

pith:X6KRO7NG

pith:2013:X6KRO7NGNEDY3C37TLGPR7KNOU
not attested not anchored not stored refs pending

Propagators in two-dimensional lattices

Emerson Sadurn\'i

arxiv:1306.0261 v1 · 2013-06-02 · quant-ph · cond-mat.other · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X6KRO7NGNEDY3C37TLGPR7KNOU}

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 2026-05-18T03:21:55.654485Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf95177da669078d8b7f9accf8fd4d75114b0ff3e5dfeae579975d5be9c45d62

Aliases

arxiv: 1306.0261 · arxiv_version: 1306.0261v1 · doi: 10.48550/arxiv.1306.0261 · pith_short_12: X6KRO7NGNEDY · pith_short_16: X6KRO7NGNEDY3C37 · pith_short_8: X6KRO7NG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X6KRO7NGNEDY3C37TLGPR7KNOU \
  | 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: bf95177da669078d8b7f9accf8fd4d75114b0ff3e5dfeae579975d5be9c45d62
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "945a7102e79c7d9c18c2d56caad857d7b7aa62abbe785e25c18c24c0c695680e",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-02T23:06:02Z",
    "title_canon_sha256": "65a93d13f0488f531a4dc2bda87556ae95fcb8c572f9410c59d05d40dcd1b68c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0261",
    "kind": "arxiv",
    "version": 1
  }
}