Pith Number

pith:GJSUG6JJ

pith:2015:GJSUG6JJLJQKPXUKWYEVGLADRE

not attested not anchored not stored refs pending

Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients

Albert Cohen, Giovanni Migliorati, Markus Bachmayr, Ronald DeVore

arxiv:1509.07050 v1 · 2015-09-23 · math.NA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJSUG6JJLJQKPXUKWYEVGLADRE}

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	2026-05-18T01:32:17.074679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32654379295a60a7de8ab609532c038930e14b59ca361d3f77c9ffee8ba9fe3d

Aliases

arxiv: 1509.07050 · arxiv_version: 1509.07050v1 · doi: 10.48550/arxiv.1509.07050 · pith_short_12: GJSUG6JJLJQK · pith_short_16: GJSUG6JJLJQKPXUK · pith_short_8: GJSUG6JJ

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/GJSUG6JJLJQKPXUKWYEVGLADRE \
  | 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: 32654379295a60a7de8ab609532c038930e14b59ca361d3f77c9ffee8ba9fe3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4a3c32f846cb1624ba1502f33de31a35e3b1ff89df776a399d40ace6101ff8",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-23T16:19:40Z",
    "title_canon_sha256": "44625fea871d870c5ce1a33a625bc1a972961eccfe1c8ce5968075688340ffac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07050",
    "kind": "arxiv",
    "version": 1
  }
}