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Pith Number

pith:IPXFX4QY

pith:2012:IPXFX4QYB7KJ3SVWY55ZR7LAEO
not attested not anchored not stored refs pending

Quarticity and other functionals of volatility: Efficient estimation

Jean Jacod, Mathieu Rosenbaum

arxiv:1207.3757 v3 · 2012-07-16 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IPXFX4QYB7KJ3SVWY55ZR7LAEO}

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 2026-05-18T03:16:06.454548Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

43ee5bf2180fd49dcab6c77b98fd60239f7b6c3d7f9602e34333f8e52c256f86

Aliases

arxiv: 1207.3757 · arxiv_version: 1207.3757v3 · doi: 10.48550/arxiv.1207.3757 · pith_short_12: IPXFX4QYB7KJ · pith_short_16: IPXFX4QYB7KJ3SVW · pith_short_8: IPXFX4QY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IPXFX4QYB7KJ3SVWY55ZR7LAEO \
  | 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: 43ee5bf2180fd49dcab6c77b98fd60239f7b6c3d7f9602e34333f8e52c256f86
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90dddee75835771c33ccf7e26460a68cc38d97b248d9e3ed71cd3c80d46db525",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-16T18:35:28Z",
    "title_canon_sha256": "09704b7572e3906eca77e97c627916fae6d8f4ef85849cbd0f00c116a7646f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3757",
    "kind": "arxiv",
    "version": 3
  }
}