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Pith Number

pith:L2VAHQKK

pith:2016:L2VAHQKK4YPUVMTFC2QKFT6MDD
not attested not anchored not stored refs pending

Critical phenomena on k-booklets

Peter Grassberger

arxiv:1611.07928 v2 · 2016-11-23 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L2VAHQKK4YPUVMTFC2QKFT6MDD}

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 2026-05-18T00:47:54.655424Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5eaa03c14ae61f4ab26516a0a2cfcc18eb7e125552e2002c1d540d337d0d50c9

Aliases

arxiv: 1611.07928 · arxiv_version: 1611.07928v2 · doi: 10.48550/arxiv.1611.07928 · pith_short_12: L2VAHQKK4YPU · pith_short_16: L2VAHQKK4YPUVMTF · pith_short_8: L2VAHQKK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2VAHQKK4YPUVMTFC2QKFT6MDD \
  | 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: 5eaa03c14ae61f4ab26516a0a2cfcc18eb7e125552e2002c1d540d337d0d50c9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e268ec1b71228b3d0e788a62c14d6c15cf5ad767f613f690ca719b69dc3c86d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-11-23T18:54:49Z",
    "title_canon_sha256": "22809533bc2d4f79df996ba782eb0b482ebffc0c552117ee8e0841ebdbb558a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07928",
    "kind": "arxiv",
    "version": 2
  }
}