Pith Number

pith:H2X6SDRX

pith:2026:H2X6SDRXCPNIIY37TK7I7BISY3

not attested not anchored not stored refs pending

Exact controllability of the stochastic Maxwell equation: theory and numerical simulation

Liying Sun, Xiaohan Wang, Yongyi Yu

arxiv:2605.25932 v1 · 2026-05-25 · 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{H2X6SDRXCPNIIY37TK7I7BISY3}

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	2026-05-26T02:05:18.939919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eafe90e3713da84637f9abe8f8512c6e55d6565763c17ee0af192dcf8348a11

Aliases

arxiv: 2605.25932 · arxiv_version: 2605.25932v1 · doi: 10.48550/arxiv.2605.25932 · pith_short_12: H2X6SDRXCPNI · pith_short_16: H2X6SDRXCPNIIY37 · pith_short_8: H2X6SDRX

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/H2X6SDRXCPNIIY37TK7I7BISY3 \
  | 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: 3eafe90e3713da84637f9abe8f8512c6e55d6565763c17ee0af192dcf8348a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f2e75591548a0b0e9238fbaf9dbef4fd6f5192d712fd0e6354d24bbd080f4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-25T15:13:32Z",
    "title_canon_sha256": "f9449c493f3bff0bb8cdb9c95d9551cba74fe0be297676d056bebfa882d81179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25932",
    "kind": "arxiv",
    "version": 1
  }
}