Pith Number

pith:7ZC2GJ46

pith:2026:7ZC2GJ46CDLVS6ESIXTTR4TM5W

not attested not anchored not stored refs pending

Local Exact Controllability of Landau-Lifshitz-Gilbert Equation

Chunxi Jiao, Ho Man Tai

arxiv:2606.18980 v1 · 2026-06-17 · math.AP · 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{7ZC2GJ46CDLVS6ESIXTTR4TM5W}

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	2026-06-19T16:11:53.674593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe45a3279e10d759789245e738f26ceda90ddfb23bc0d05a2ed57d9ff4e4478b

Aliases

arxiv: 2606.18980 · arxiv_version: 2606.18980v1 · doi: 10.48550/arxiv.2606.18980 · pith_short_12: 7ZC2GJ46CDLV · pith_short_16: 7ZC2GJ46CDLVS6ES · pith_short_8: 7ZC2GJ46

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/7ZC2GJ46CDLVS6ESIXTTR4TM5W \
  | 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: fe45a3279e10d759789245e738f26ceda90ddfb23bc0d05a2ed57d9ff4e4478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f3ad52c21892b3bcad509494f0a07a988e5e130e4f053246ad435beec2bda70",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-17T12:02:32Z",
    "title_canon_sha256": "c2c2b821401e66e6d3b17b4599f2da459f39c652667b34fafa550479f14e6d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18980",
    "kind": "arxiv",
    "version": 1
  }
}