Pith Number

pith:2MOF7JMB

pith:2013:2MOF7JMBWAGNANZTTMHPBQ643O

not attested not anchored not stored refs pending

Non-degeneracy of some Sobolev Pseudo-norms of fractional Brownian motion

David Nualart, Fei Lu, Yaozhong Hu

arxiv:1308.6535 v1 · 2013-08-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MOF7JMBWAGNANZTTMHPBQ643O}

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	2026-05-18T03:14:39.633756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31c5fa581b00cd037339b0ef0c3dcdba558757b756bb778ef7de60aecc4d2dd

Aliases

arxiv: 1308.6535 · arxiv_version: 1308.6535v1 · doi: 10.48550/arxiv.1308.6535 · pith_short_12: 2MOF7JMBWAGN · pith_short_16: 2MOF7JMBWAGNANZT · pith_short_8: 2MOF7JMB

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/2MOF7JMBWAGNANZTTMHPBQ643O \
  | 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: d31c5fa581b00cd037339b0ef0c3dcdba558757b756bb778ef7de60aecc4d2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3f75ab4b5e384aa1b457424311e52fb74f2ad9f8803755f80e4b9d58881540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-29T17:45:20Z",
    "title_canon_sha256": "1dbd498c399ac49e2ce5fa8757bfd16dfa3c1ed9e1b2678f65324e05ae840355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6535",
    "kind": "arxiv",
    "version": 1
  }
}