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Pith Number

pith:Q3UPXAI5

pith:2011:Q3UPXAI5QD4R6RQLB4KATCN4KH
not attested not anchored not stored refs pending

Diffusion in infinite and semi-infinite lattices with long-range coupling

Alejandro J. Martinez, Mario I. Molina

arxiv:1201.0133 v1 · 2011-12-30 · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q3UPXAI5QD4R6RQLB4KATCN4KH}

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 2026-05-18T01:58:59.386790Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

86e8fb811d80f91f460b0f140989bc51c5c41431017abe79e14bb9884c459b8b

Aliases

arxiv: 1201.0133 · arxiv_version: 1201.0133v1 · doi: 10.48550/arxiv.1201.0133 · pith_short_12: Q3UPXAI5QD4R · pith_short_16: Q3UPXAI5QD4R6RQL · pith_short_8: Q3UPXAI5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q3UPXAI5QD4R6RQLB4KATCN4KH \
  | 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: 86e8fb811d80f91f460b0f140989bc51c5c41431017abe79e14bb9884c459b8b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bed975e2681ac921f15d8e64590cc5207a6df96a22dbce620bf152fdda387fa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-12-30T14:38:09Z",
    "title_canon_sha256": "ef171e3f7b74dc8ce995f2939754da6b560c3226d3ebb436eab5afd36d11e0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0133",
    "kind": "arxiv",
    "version": 1
  }
}