Pith Number

pith:KZZNZGEU

pith:2011:KZZNZGEUGB7BPEUE2JFXFATHKF

not attested not anchored not stored refs pending

Living on the multi-dimensional edge: seeking hidden risks using regular variation

Abhimanyu Mitra, Bikramjit Das, Sidney Resnick

arxiv:1108.5560 v1 · 2011-08-29 · math.PR · math.ST · q-fin.RM · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZZNZGEUGB7BPEUE2JFXFATHKF}

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	2026-05-18T04:14:28.666718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5672dc9894307e179284d24b7282675143d0c13be039e2e3b9fcd2f7ced3fa52

Aliases

arxiv: 1108.5560 · arxiv_version: 1108.5560v1 · doi: 10.48550/arxiv.1108.5560 · pith_short_12: KZZNZGEUGB7B · pith_short_16: KZZNZGEUGB7BPEUE · pith_short_8: KZZNZGEU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZZNZGEUGB7BPEUE2JFXFATHKF \
  | 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: 5672dc9894307e179284d24b7282675143d0c13be039e2e3b9fcd2f7ced3fa52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e523475ca1a021aab3ce886004007f2f9116bc730db140659c568a135a9083d",
    "cross_cats_sorted": [
      "math.ST",
      "q-fin.RM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-29T14:19:29Z",
    "title_canon_sha256": "34f4906c92ab04bdbc2490189c829160c4715f38190f9e882154c698e32002e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5560",
    "kind": "arxiv",
    "version": 1
  }
}