Pith Number

pith:FTHV6HTC

pith:2019:FTHV6HTCHG5EX2M75N53X3Y47T

not attested not anchored not stored refs pending

Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem

Bin Wu, Qun Chen, Zewen Wang

arxiv:1910.14561 v2 · 2019-10-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTHV6HTCHG5EX2M75N53X3Y47T}

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	2026-07-05T01:29:43.325908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccf5f1e6239ba4be99feb7bbbef1cfce33dcc57fbaf7014a77b47e0144ebba5

Aliases

arxiv: 1910.14561 · arxiv_version: 1910.14561v2 · doi: 10.48550/arxiv.1910.14561 · pith_short_12: FTHV6HTCHG5E · pith_short_16: FTHV6HTCHG5EX2M7 · pith_short_8: FTHV6HTC

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/FTHV6HTCHG5EX2M75N53X3Y47T \
  | 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: 2ccf5f1e6239ba4be99feb7bbbef1cfce33dcc57fbaf7014a77b47e0144ebba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134d029309c0fd5f19ee60e909a8f4246d1511082905e441b098c944fc0fcbea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-10-31T16:08:02Z",
    "title_canon_sha256": "75bc585ad35d24c3bd6c9da99c22393fe74c09508d449d299b8807b0f560be2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.14561",
    "kind": "arxiv",
    "version": 2
  }
}