Pith Number

pith:VM7J5SIN

pith:2016:VM7J5SIN3IF3MCO5KYFZSF6GE4

not attested not anchored not stored refs pending

Structure-Preserving Galerkin POD Reduced-Order Modeling of Hamiltonian Systems

Qi Wang, Yuezheng Gong, Zhu Wang

arxiv:1608.03659 v1 · 2016-08-12 · math.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{VM7J5SIN3IF3MCO5KYFZSF6GE4}

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	2026-05-18T00:49:24.167520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3e9ec90dda0bb609dd560b9917c627077295a99c85288ea6438c26cc0e0c92

Aliases

arxiv: 1608.03659 · arxiv_version: 1608.03659v1 · doi: 10.48550/arxiv.1608.03659 · pith_short_12: VM7J5SIN3IF3 · pith_short_16: VM7J5SIN3IF3MCO5 · pith_short_8: VM7J5SIN

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/VM7J5SIN3IF3MCO5KYFZSF6GE4 \
  | 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: ab3e9ec90dda0bb609dd560b9917c627077295a99c85288ea6438c26cc0e0c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa88d6c13e097b480240107ea9e543c1aae5103da0ba923ea45d981186c7840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-12T02:10:32Z",
    "title_canon_sha256": "190b638d25dd6b903903f995d65cac284ab05157d4ef6b5f96bc3c1c1d8a4c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03659",
    "kind": "arxiv",
    "version": 1
  }
}