Pith Number

pith:6JM67PSH

pith:2015:6JM67PSHMZXFSLHLUNGH5RIWWA

not attested not anchored not stored refs pending

Galerkin v. least-squares Petrov--Galerkin projection in nonlinear model reduction

Harbir Antil, Kevin Carlberg, Matthew Barone

arxiv:1504.03749 v3 · 2015-04-15 · cs.NA · 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{6JM67PSHMZXFSLHLUNGH5RIWWA}

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	2026-05-18T01:08:35.848092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f259efbe47666e592ceba34c7ec516b01129ac098ae5645ff2e00c02f6ce3824

Aliases

arxiv: 1504.03749 · arxiv_version: 1504.03749v3 · doi: 10.48550/arxiv.1504.03749 · pith_short_12: 6JM67PSHMZXF · pith_short_16: 6JM67PSHMZXFSLHL · pith_short_8: 6JM67PSH

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/6JM67PSHMZXFSLHLUNGH5RIWWA \
  | 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: f259efbe47666e592ceba34c7ec516b01129ac098ae5645ff2e00c02f6ce3824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eefdb8e994606d29d5842c14c15c5efa76d800dfaf245e0dd70b4575f6d55a6",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-04-15T00:19:15Z",
    "title_canon_sha256": "3bb3484736afd538df3a19f5e42e91ba92818b506502fceba38ee8b6e55ce0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03749",
    "kind": "arxiv",
    "version": 3
  }
}