Pith Number

pith:XRVISUA2

pith:2026:XRVISUA2U54FBUJTEB3TOPIMVR

not attested not anchored not stored refs pending

Optimal control problems for quasi-linear parabolic equations and their linear approximations

Meisai Wang, Xu Liu, Xu Zhang

arxiv:2607.26585 v1 · 2026-07-29 · 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{XRVISUA2U54FBUJTEB3TOPIMVR}

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	2026-07-30T01:21:11.930852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

bc6a89501aa77850d1332077373d0cac712f44bde2f0193455cfff8940c11cf3

Aliases

arxiv: 2607.26585 · arxiv_version: 2607.26585v1 · doi: 10.48550/arxiv.2607.26585 · pith_short_12: XRVISUA2U54F · pith_short_16: XRVISUA2U54FBUJT · pith_short_8: XRVISUA2

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/XRVISUA2U54FBUJTEB3TOPIMVR \
  | 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: bc6a89501aa77850d1332077373d0cac712f44bde2f0193455cfff8940c11cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcac33a6ab3653b2aeada08202d5537ce5bd32bee968c26dda06067434a5d7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-29T08:04:52Z",
    "title_canon_sha256": "021b1f815901f603e2a9ead6bb0090f47d7cd510a65f4730c50b364e4302df8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26585",
    "kind": "arxiv",
    "version": 1
  }
}