Pith Number

pith:KQQY4HPU

pith:2011:KQQY4HPUHYSYD7VDHHYXWEUEYV

not attested not anchored not stored refs pending

Is the stochastic parabolicity condition dependent on $p$ and $q$?

Mark Veraar, Zdzislaw Brzezniak

arxiv:1104.2768 v3 · 2011-04-14 · math.PR · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQQY4HPUHYSYD7VDHHYXWEUEYV}

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	2026-05-18T03:50:59.241476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54218e1df43e2581fea339f17b1284c567b7d817b3deab20ceec1895742d836d

Aliases

arxiv: 1104.2768 · arxiv_version: 1104.2768v3 · doi: 10.48550/arxiv.1104.2768 · pith_short_12: KQQY4HPUHYSY · pith_short_16: KQQY4HPUHYSYD7VD · pith_short_8: KQQY4HPU

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/KQQY4HPUHYSYD7VDHHYXWEUEYV \
  | 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: 54218e1df43e2581fea339f17b1284c567b7d817b3deab20ceec1895742d836d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3e37606c34de48fdc226aad24aaca841e50cbf8370543c61d1499a556db4e8",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-14T14:06:47Z",
    "title_canon_sha256": "722b540eec424a1174095f8da8efd0f859cbfa0f1d4fb778d9e27b50aa92badd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2768",
    "kind": "arxiv",
    "version": 3
  }
}