Pith Number

pith:ULTT6WYC

pith:2010:ULTT6WYC2CO5UPCAAUHNICEDMR

not attested not anchored not stored refs pending

Exponential mixing for some SPDEs with L\'evy noise

Enrico Priola, Jerzy Zabczyk, Lihu Xu

arxiv:1010.4530 v1 · 2010-10-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULTT6WYC2CO5UPCAAUHNICEDMR}

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	2026-05-18T04:38:58.503922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e73f5b02d09dda3c40050ed40883646743aeb8eb2fd67d76e0498b71bc84c6

Aliases

arxiv: 1010.4530 · arxiv_version: 1010.4530v1 · doi: 10.48550/arxiv.1010.4530 · pith_short_12: ULTT6WYC2CO5 · pith_short_16: ULTT6WYC2CO5UPCA · pith_short_8: ULTT6WYC

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/ULTT6WYC2CO5UPCAAUHNICEDMR \
  | 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: a2e73f5b02d09dda3c40050ed40883646743aeb8eb2fd67d76e0498b71bc84c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552667bf53ffc7a21f4ea49c9848d59c160f1a0aba9356ac3b2e5f83424878a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-21T17:30:18Z",
    "title_canon_sha256": "8fcd51322fa4cf74b6649efbb2d66ea9c3d882a85401ed7fabb9c02895be4cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4530",
    "kind": "arxiv",
    "version": 1
  }
}