Pith Number

pith:ZXSBTQ3O

pith:2012:ZXSBTQ3O4PJPP74ZCJB2T2L6FC

not attested not anchored not stored refs pending

On a Stochastic Leray-{\alpha} model of Euler equations

Benedetta Ferrario, David Barbato, Hakima Bessaih

arxiv:1210.2165 v2 · 2012-10-08 · 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{ZXSBTQ3O4PJPP74ZCJB2T2L6FC}

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	2026-05-18T02:37:43.082565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde419c36ee3d2f7ff991243a9e97e288c6140a3197ea941d90720c0585fe7c2

Aliases

arxiv: 1210.2165 · arxiv_version: 1210.2165v2 · doi: 10.48550/arxiv.1210.2165 · pith_short_12: ZXSBTQ3O4PJP · pith_short_16: ZXSBTQ3O4PJPP74Z · pith_short_8: ZXSBTQ3O

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/ZXSBTQ3O4PJPP74ZCJB2T2L6FC \
  | 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: cde419c36ee3d2f7ff991243a9e97e288c6140a3197ea941d90720c0585fe7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af9d7ad9fc2dccea6c9196e4db39b8597d6b167e24156d58e6d7d59016bbdd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-08T07:29:12Z",
    "title_canon_sha256": "c1bf3506b3c473ad1acddf9322a15d7b6806af818d31772b287865919264f600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2165",
    "kind": "arxiv",
    "version": 2
  }
}