Pith Number

pith:KVXXIPSM

pith:2011:KVXXIPSMAEMJOI45JGIKSUGQO3

not attested not anchored not stored refs pending

2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing

Jinniao Qiu, Shanjian Tang, Yuncheng You

arxiv:1104.5567 v1 · 2011-04-29 · 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{KVXXIPSMAEMJOI45JGIKSUGQO3}

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	2026-05-18T04:23:20.753242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556f743e4c011897239d4990a950d076e01711802a08771506471f5651816378

Aliases

arxiv: 1104.5567 · arxiv_version: 1104.5567v1 · doi: 10.48550/arxiv.1104.5567 · pith_short_12: KVXXIPSMAEMJ · pith_short_16: KVXXIPSMAEMJOI45 · pith_short_8: KVXXIPSM

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/KVXXIPSMAEMJOI45JGIKSUGQO3 \
  | 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: 556f743e4c011897239d4990a950d076e01711802a08771506471f5651816378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea46a2690753a57bf589e175ce42d71734aa6494d266bb6d4c51be9aa751d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-29T08:33:04Z",
    "title_canon_sha256": "b9f8d58307863e12b86abed967847c5a307aa0d6c34b62fe00408e404bfe4898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5567",
    "kind": "arxiv",
    "version": 1
  }
}