Pith Number

pith:OW7AIFGY

pith:2011:OW7AIFGY63OIKGKPPIDMUFZ3IM

not attested not anchored not stored refs pending

Gradient Flow from a Random Walk in Hilbert Space

Alexandre H. Thiery, Andrew M. Stuart, Natesh S. Pillai

arxiv:1108.1494 v4 · 2011-08-06 · math.ST · math.PR · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OW7AIFGY63OIKGKPPIDMUFZ3IM}

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	2026-05-18T02:54:03.775758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75be0414d8f6dc85194f7a06ca173b430270abcbfa01c14716fc4bf57621e1f4

Aliases

arxiv: 1108.1494 · arxiv_version: 1108.1494v4 · doi: 10.48550/arxiv.1108.1494 · pith_short_12: OW7AIFGY63OI · pith_short_16: OW7AIFGY63OIKGKP · pith_short_8: OW7AIFGY

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/OW7AIFGY63OIKGKPPIDMUFZ3IM \
  | 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: 75be0414d8f6dc85194f7a06ca173b430270abcbfa01c14716fc4bf57621e1f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc15226175777dcf6e95c1dfc0afc6bc58c81f4d83889792e3fae5afeaab2d8e",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-08-06T16:33:02Z",
    "title_canon_sha256": "38ce1a0db387f2a99e8f9ebf2ad9e6d9ab2c6138922c5444d200dd37728a626d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1494",
    "kind": "arxiv",
    "version": 4
  }
}