Pith Number

pith:A5VOZUXJ

pith:2010:A5VOZUXJJ5PNLOV3IFEOMWKVPG

not attested not anchored not stored refs pending

Multi-Resolution Schauder Approach to Multidimensional Gauss-Markov Processes

Jonathan Touboul, Thibaud Taillefumier

arxiv:1009.0533 v1 · 2010-09-02 · 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{A5VOZUXJJ5PNLOV3IFEOMWKVPG}

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	2026-05-18T04:41:25.940946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

076aecd2e94f5ed5babb4148e6595579a205c5431213b521ec2fd1760e2035f3

Aliases

arxiv: 1009.0533 · arxiv_version: 1009.0533v1 · doi: 10.48550/arxiv.1009.0533 · pith_short_12: A5VOZUXJJ5PN · pith_short_16: A5VOZUXJJ5PNLOV3 · pith_short_8: A5VOZUXJ

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/A5VOZUXJJ5PNLOV3IFEOMWKVPG \
  | 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: 076aecd2e94f5ed5babb4148e6595579a205c5431213b521ec2fd1760e2035f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1db78107fae9dcd3d67448e9ff9eec3e5f37d9eac94484dd2246931586875e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-02T20:19:19Z",
    "title_canon_sha256": "62d90f00af5dc3340568be0c0076668784b331d8f54dfc173766cadc97f9c388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0533",
    "kind": "arxiv",
    "version": 1
  }
}