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Pith Number

pith:3KCMTUIT

pith:2015:3KCMTUITM7DRNUB3C7PSTDDUGO
not attested not anchored not stored refs pending

Heavy tails and one-dimensional localization

Michael Cranston, Nicola Squartini, Stanislav Molchanov

arxiv:1511.01394 v1 · 2015-11-04 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3KCMTUITM7DRNUB3C7PSTDDUGO}

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 2026-05-18T01:27:47.221211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da84c9d11367c716d03b17df298c7433b88daf45e87df2446ee56ddc770daa5d

Aliases

arxiv: 1511.01394 · arxiv_version: 1511.01394v1 · doi: 10.48550/arxiv.1511.01394 · pith_short_12: 3KCMTUITM7DR · pith_short_16: 3KCMTUITM7DRNUB3 · pith_short_8: 3KCMTUIT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3KCMTUITM7DRNUB3C7PSTDDUGO \
  | 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: da84c9d11367c716d03b17df298c7433b88daf45e87df2446ee56ddc770daa5d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a644c9969d73eecc1e93f85ab172b90107a29ddfb60291e60cb9351cbafb4fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-04T16:54:41Z",
    "title_canon_sha256": "7b4876e5372e9d7ee44e410156dbafdfccd05732984be9455be2c3f5bd14e2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01394",
    "kind": "arxiv",
    "version": 1
  }
}