Pith Number

pith:WM6R2P4R

pith:2026:WM6R2P4RGIGW5RBEHQ6BVVSQ72

not attested not anchored not stored refs pending

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures

Fengyan Li, Jiajia Yu, Jingwei Hu, Shanyin Tong, Yunan Yang, Zhaiming Shen

arxiv:2607.01696 v1 · 2026-07-02 · math.NA · cs.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{WM6R2P4RGIGW5RBEHQ6BVVSQ72}

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	2026-07-03T01:17:27.011676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33d1d3f91320d6ec4243c3c1ad650fe887ff571feaa18e6b0d5095f9ed97ce9

Aliases

arxiv: 2607.01696 · arxiv_version: 2607.01696v1 · doi: 10.48550/arxiv.2607.01696 · pith_short_12: WM6R2P4RGIGW · pith_short_16: WM6R2P4RGIGW5RBE · pith_short_8: WM6R2P4R

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/WM6R2P4RGIGW5RBEHQ6BVVSQ72 \
  | 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: b33d1d3f91320d6ec4243c3c1ad650fe887ff571feaa18e6b0d5095f9ed97ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27d633c821a62669f6f21bb2ba52e504f0af0ab12723235c5db711f6eeb47f8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-02T04:39:45Z",
    "title_canon_sha256": "a831d97270e0e8957e49504929a5d54a03edb9fd828cd537be14c0f62096ee31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01696",
    "kind": "arxiv",
    "version": 1
  }
}