Pith Number

pith:BV67W4HO

pith:2008:BV67W4HOPJSDVVPEITQHBPJCRT

not attested not anchored not stored refs pending

Discretization of transfer operators using a sparse hierarchical tensor basis - the Sparse Ulam method

Oliver Junge, Peter Koltai

arxiv:0802.4006 v1 · 2008-02-27 · math.NA · cs.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BV67W4HOPJSDVVPEITQHBPJCRT}

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	2026-06-03T22:06:04.656416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7dfb70ee7a643ad5e444e070bd228cc4e7cdfd7f3a8a245d06affaca9f8ebf

Aliases

arxiv: 0802.4006 · arxiv_version: 0802.4006v1 · doi: 10.48550/arxiv.0802.4006 · pith_short_12: BV67W4HOPJSD · pith_short_16: BV67W4HOPJSDVVPE · pith_short_8: BV67W4HO

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/BV67W4HOPJSDVVPEITQHBPJCRT \
  | 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: 0d7dfb70ee7a643ad5e444e070bd228cc4e7cdfd7f3a8a245d06affaca9f8ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0a6dd62320f53df4b8056a19ff64b2ef3964fccb0da7edc36af4101d9caf45",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-02-27T12:47:30Z",
    "title_canon_sha256": "51c42e8ebe6e884f37763385a9e73f9f60da6f3ce3734b9a1d6fae246146ce58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4006",
    "kind": "arxiv",
    "version": 1
  }
}