Pith Number

pith:Z45GL6NF

pith:2013:Z45GL6NFRIFQHNLG72BRBWXBOG

not attested not anchored not stored refs pending

On Galerkin Approximations for the Zakai Equation with Diffusive and Point Process Observations

Ling Xu, R\"udiger Frey, Thorsten Schmidt

arxiv:1303.0975 v1 · 2013-03-05 · math.NA · 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{Z45GL6NFRIFQHNLG72BRBWXBOG}

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	2026-05-18T03:31:53.276484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3a65f9a58a0b03b566fe8310dae1718b6ffa8d06fcc3f946eb590e51505d4d

Aliases

arxiv: 1303.0975 · arxiv_version: 1303.0975v1 · doi: 10.48550/arxiv.1303.0975 · pith_short_12: Z45GL6NFRIFQ · pith_short_16: Z45GL6NFRIFQHNLG · pith_short_8: Z45GL6NF

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/Z45GL6NFRIFQHNLG72BRBWXBOG \
  | 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: cf3a65f9a58a0b03b566fe8310dae1718b6ffa8d06fcc3f946eb590e51505d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1265ba7ce6020a5812809314d9abc1502d04f84e5c296526c249ef39dcc77c4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-03-05T10:33:10Z",
    "title_canon_sha256": "4c20ed1285d073364334fba29c32711335e154c0b60f6a3e19baf7ecf96b756f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0975",
    "kind": "arxiv",
    "version": 1
  }
}