Pith Number

pith:3RX2BEPY

pith:2015:3RX2BEPY4CULPOQQYW6BS7BM73

not attested not anchored not stored refs pending

Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients

Albert Cohen, Giovanni Migliorati, Markus Bachmayr

arxiv:1509.07045 v2 · 2015-09-23 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RX2BEPY4CULPOQQYW6BS7BM73}

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	2026-05-18T01:12:00.338137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6fa091f8e0a8b7ba10c5bc197c2cfed313feadaf2d9735399fb36cb5a2764b

Aliases

arxiv: 1509.07045 · arxiv_version: 1509.07045v2 · doi: 10.48550/arxiv.1509.07045 · pith_short_12: 3RX2BEPY4CUL · pith_short_16: 3RX2BEPY4CULPOQQ · pith_short_8: 3RX2BEPY

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/3RX2BEPY4CULPOQQYW6BS7BM73 \
  | 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: dc6fa091f8e0a8b7ba10c5bc197c2cfed313feadaf2d9735399fb36cb5a2764b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a15a5259f5841f595fd475b0cd0d5d8a3051a1b651774f3353f5e3529764d95",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-23T16:08:32Z",
    "title_canon_sha256": "5437f993f6e892a6e75b9a4fce7b7c319ced67779634e6e9c9dcc893f36c4c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07045",
    "kind": "arxiv",
    "version": 2
  }
}