Pith Number

pith:ISHGTIH5

pith:2026:ISHGTIH5DF7KDOH2SA2IX4JS3P

not attested not anchored not stored refs pending

A Posteriori Error Analysis for Decoupled Neural Approximations of Fully Coupled FBSDEs with Control Mismatch

Xichuan Zhang

arxiv:2606.29474 v1 · 2026-06-28 · math.OC · cs.AI · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISHGTIH5DF7KDOH2SA2IX4JS3P}

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	2026-06-30T01:18:07.921552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448e69a0fd197ea1b8fa90348bf132dbd09588a10514a8b2883766265051b7fd

Aliases

arxiv: 2606.29474 · arxiv_version: 2606.29474v1 · doi: 10.48550/arxiv.2606.29474 · pith_short_12: ISHGTIH5DF7K · pith_short_16: ISHGTIH5DF7KDOH2 · pith_short_8: ISHGTIH5

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/ISHGTIH5DF7KDOH2SA2IX4JS3P \
  | 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: 448e69a0fd197ea1b8fa90348bf132dbd09588a10514a8b2883766265051b7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc8ac8afbbf5457ba4f17d9f23b2029bcb81d935acee44a13999237931c328d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-28T16:02:10Z",
    "title_canon_sha256": "d8c67b86406f48166a4ce388d485eb2b3d19a169c5a5ff241145350c0d3fa4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29474",
    "kind": "arxiv",
    "version": 1
  }
}