Pith Number

pith:GAEXSLYZ

pith:2006:GAEXSLYZRBKSXFGLHENDNPUWJI

not attested not anchored not stored refs pending

On stochastic fractional Volterra equations in Hilbert space

Anna Karczewska, Carlos Lizama

arxiv:math/0610244 v1 · 2006-10-07 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAEXSLYZRBKSXFGLHENDNPUWJI}

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	2026-05-18T04:08:53.211820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3009792f1988552b94cb391a36be964a314305e6d660fa6c49758e5792b77be0

Aliases

arxiv: math/0610244 · arxiv_version: math/0610244v1 · doi: 10.48550/arxiv.math/0610244 · pith_short_12: GAEXSLYZRBKS · pith_short_16: GAEXSLYZRBKSXFGL · pith_short_8: GAEXSLYZ

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/GAEXSLYZRBKSXFGLHENDNPUWJI \
  | 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: 3009792f1988552b94cb391a36be964a314305e6d660fa6c49758e5792b77be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e153d8730c7b4aec2631a90d4157678c875e73663cdcce09d64b0401bbc429fe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-10-07T10:47:08Z",
    "title_canon_sha256": "3ef0580cb08255f5cdddf3287cf9d557d0dcec5760e2c597f9763cde83cbe8cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610244",
    "kind": "arxiv",
    "version": 1
  }
}