Pith Number

pith:IXFKN45B

pith:2011:IXFKN45BUXIGU3VNWBPSSZUZCT

not attested not anchored not stored refs pending

Linear SPDEs with harmonizable noise

Raluca M. Balan

arxiv:1108.2812 v1 · 2011-08-13 · 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{IXFKN45BUXIGU3VNWBPSSZUZCT}

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	2026-05-18T04:15:35.571097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45caa6f3a1a5d06a6eadb05f29669914e55406da8f4f1bc36bf5122bdd79faa8

Aliases

arxiv: 1108.2812 · arxiv_version: 1108.2812v1 · doi: 10.48550/arxiv.1108.2812 · pith_short_12: IXFKN45BUXIG · pith_short_16: IXFKN45BUXIGU3VN · pith_short_8: IXFKN45B

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/IXFKN45BUXIGU3VNWBPSSZUZCT \
  | 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: 45caa6f3a1a5d06a6eadb05f29669914e55406da8f4f1bc36bf5122bdd79faa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93692508cf28d386a11a5cabf9cc87c28a568c58dad1a9d33c80c5cd3b462e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T18:38:55Z",
    "title_canon_sha256": "4cde4f1e47668dc638422de615a1e934a36a54915deab824c409108c8c81334e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2812",
    "kind": "arxiv",
    "version": 1
  }
}