Pith Number

pith:4XVZ7TNC

pith:2018:4XVZ7TNCFZ7HNVSNKBN7MZYMWU

not attested not anchored not stored refs pending

Sparse Grid Approximation Spaces for Space-Time Boundary Integral Formulations of the Heat Equation

Alexey Chernov, Anne Reinarz

arxiv:1804.10986 v1 · 2018-04-29 · 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{4XVZ7TNCFZ7HNVSNKBN7MZYMWU}

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	2026-05-18T00:17:14.971124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5eb9fcda22e7e76d64d505bf6670cb50697a5436aa67f5249989c854fe830df

Aliases

arxiv: 1804.10986 · arxiv_version: 1804.10986v1 · doi: 10.48550/arxiv.1804.10986 · pith_short_12: 4XVZ7TNCFZ7H · pith_short_16: 4XVZ7TNCFZ7HNVSN · pith_short_8: 4XVZ7TNC

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/4XVZ7TNCFZ7HNVSNKBN7MZYMWU \
  | 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: e5eb9fcda22e7e76d64d505bf6670cb50697a5436aa67f5249989c854fe830df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdc532a024a60540811dd9a472786bfc9ea64a8464d3b30c3f17baf5cd31a6a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-29T20:09:46Z",
    "title_canon_sha256": "5d4a3e9a2c95b47e053407a09d371d3141a02eebef86a293572e4d38a37e3510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10986",
    "kind": "arxiv",
    "version": 1
  }
}