Pith Number

pith:PVSLCSDR

pith:2026:PVSLCSDRAR45WQLADKQALTF23J

not attested not anchored not stored refs pending

Sharp bounds for non-trace class noise and applications to SPDEs

Antonio Agresti, Fabian Germ, Mark Veraar

arxiv:2601.19639 v2 · 2026-01-27 · math.PR · math.AP · 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{PVSLCSDRAR45WQLADKQALTF23J}

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	2026-05-26T01:02:31.110576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d64b148710479db41601aa005ccbada438f1d77f873b40e516600e34a8ab7f7

Aliases

arxiv: 2601.19639 · arxiv_version: 2601.19639v2 · doi: 10.48550/arxiv.2601.19639 · pith_short_12: PVSLCSDRAR45 · pith_short_16: PVSLCSDRAR45WQLA · pith_short_8: PVSLCSDR

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/PVSLCSDRAR45WQLADKQALTF23J \
  | 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: 7d64b148710479db41601aa005ccbada438f1d77f873b40e516600e34a8ab7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba79d74ae595017fb4cb0b58144a2403127e472041f0bb06935e82e0041f1dd",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-01-27T14:16:24Z",
    "title_canon_sha256": "00a25709e29c696aeb7a4ce71481178ed4ea2796e5482a65bfffa86ce84f567c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19639",
    "kind": "arxiv",
    "version": 2
  }
}