Pith Number

pith:LYSWHRG5

pith:2015:LYSWHRG5EUBWYOT5FX7B2WZ3NU

not attested not anchored not stored refs pending

A note on the Malliavin-Sobolev spaces

Anthony R\'eveillac (INSA Toulouse, Dylan Possama\"i (CEREMADE), IMT), Peter Imkeller, Thibaut Mastrolia (CEREMADE)

arxiv:1501.01777 v1 · 2015-01-08 · 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{LYSWHRG5EUBWYOT5FX7B2WZ3NU}

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	2026-05-18T02:29:46.399326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e2563c4dd25036c3a7d2dfe1d5b3b6d316f103848fd1d3207a69296e5f4fe28

Aliases

arxiv: 1501.01777 · arxiv_version: 1501.01777v1 · doi: 10.48550/arxiv.1501.01777 · pith_short_12: LYSWHRG5EUBW · pith_short_16: LYSWHRG5EUBWYOT5 · pith_short_8: LYSWHRG5

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/LYSWHRG5EUBWYOT5FX7B2WZ3NU \
  | 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: 5e2563c4dd25036c3a7d2dfe1d5b3b6d316f103848fd1d3207a69296e5f4fe28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f445f43311aeb600275b78f7172cf27814d8ae93565799cf2e4092d2808b3336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-08T09:40:29Z",
    "title_canon_sha256": "a972ff5d075571a614537cf04742eae61161565c6c3a2fe01f8eaa7b9c2b9c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01777",
    "kind": "arxiv",
    "version": 1
  }
}