Pith Number

pith:WHLIIEHN

pith:2026:WHLIIEHNSF55QQISGJMEQIQY7D

not attested not anchored not stored refs pending

Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics

Hayden Schaeffer, Liyao Lyu, Xinyue Yu

arxiv:2606.06809 v1 · 2026-06-05 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHLIIEHNSF55QQISGJMEQIQY7D}

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	2026-06-08T01:04:29.333893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d68410ed917bd841123258482218f8d0731c6019bbed4298707b2b38de7650

Aliases

arxiv: 2606.06809 · arxiv_version: 2606.06809v1 · doi: 10.48550/arxiv.2606.06809 · pith_short_12: WHLIIEHNSF55 · pith_short_16: WHLIIEHNSF55QQIS · pith_short_8: WHLIIEHN

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/WHLIIEHNSF55QQISGJMEQIQY7D \
  | 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: b1d68410ed917bd841123258482218f8d0731c6019bbed4298707b2b38de7650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b740f7c56ea8f0c351fd24e2844425330168598b4e6c9bc61200636ec43012fb",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-05T01:22:57Z",
    "title_canon_sha256": "65b979215331884b798c824d0dd9a07271214259e3e51d26c5d95ebadb796fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06809",
    "kind": "arxiv",
    "version": 1
  }
}