Pith Number

pith:MAHDNMGU

pith:2026:MAHDNMGUV7UH25VHHY3BMHO2PL

not attested not anchored not stored refs pending

A spectral-subspace-augmented POD-Galerkin method for parametrized PDEs with limited snapshot data

Tianhao Hu, Zecheng Gan

arxiv:2607.01534 v1 · 2026-07-01 · 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{MAHDNMGUV7UH25VHHY3BMHO2PL}

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	2026-07-03T00:17:03.366772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600e36b0d4afe87d76a73e36161dda7ac605dd78f027b16e4bf1b818d1b09566

Aliases

arxiv: 2607.01534 · arxiv_version: 2607.01534v1 · doi: 10.48550/arxiv.2607.01534 · pith_short_12: MAHDNMGUV7UH · pith_short_16: MAHDNMGUV7UH25VH · pith_short_8: MAHDNMGU

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/MAHDNMGUV7UH25VHHY3BMHO2PL \
  | 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: 600e36b0d4afe87d76a73e36161dda7ac605dd78f027b16e4bf1b818d1b09566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e96eab8676ff68eceaede50f10a3f75f26f7282e4ee933dd56f39abcd810fb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-01T23:23:33Z",
    "title_canon_sha256": "5e0d5d39834cc9dd56236ffc4891813c18c4e5be966f8f924103c0fce0b2fe14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01534",
    "kind": "arxiv",
    "version": 1
  }
}