Pith Number

pith:NVEFDA4U

pith:2013:NVEFDA4UCE5QGHHNW34H3YXM46

not attested not anchored not stored refs pending

Hermite spectral method with hyperbolic cross approximations to high-dimensional parabolic PDEs

Stephen S.-T. Yau, Xue Luo

arxiv:1306.3207 v2 · 2013-06-13 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVEFDA4UCE5QGHHNW34H3YXM46}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:00:26.218366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d48518394113b031cedb6f87de2ece7842985ed9da5b1fabb98685d9e61a5ba

Aliases

arxiv: 1306.3207 · arxiv_version: 1306.3207v2 · doi: 10.48550/arxiv.1306.3207 · pith_short_12: NVEFDA4UCE5Q · pith_short_16: NVEFDA4UCE5QGHHN · pith_short_8: NVEFDA4U

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/NVEFDA4UCE5QGHHNW34H3YXM46 \
  | 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: 6d48518394113b031cedb6f87de2ece7842985ed9da5b1fabb98685d9e61a5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96249c2826015e3f40928d6686d6efd27c9d7cae627e4a23f872e061a6a47588",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-13T19:38:20Z",
    "title_canon_sha256": "b90fdb4b0b7bf6312757d9da68b06d05700e49018f2bcde4fa6b9843bce47b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3207",
    "kind": "arxiv",
    "version": 2
  }
}