Pith Number

pith:HTCODJOZ

pith:2015:HTCODJOZYT46FTNG3RGB4LHRIS

not attested not anchored not stored refs pending

Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains

Helmut Harbrecht, Michael D. Multerer, Michael Griebel

arxiv:1509.09058 v2 · 2015-09-30 · 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{HTCODJOZYT46FTNG3RGB4LHRIS}

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	2026-05-17T23:57:16.029012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc4e1a5d9c4f9e2cda6dc4c1e2cf144a981b3207c5b7f43b0048be556bb57d5

Aliases

arxiv: 1509.09058 · arxiv_version: 1509.09058v2 · doi: 10.48550/arxiv.1509.09058 · pith_short_12: HTCODJOZYT46 · pith_short_16: HTCODJOZYT46FTNG · pith_short_8: HTCODJOZ

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/HTCODJOZYT46FTNG3RGB4LHRIS \
  | 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: 3cc4e1a5d9c4f9e2cda6dc4c1e2cf144a981b3207c5b7f43b0048be556bb57d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d930267eaed08c462e79b8a0044600b937b09dccd900d6c1f97196e7a1ca97b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-30T08:16:06Z",
    "title_canon_sha256": "420d5111da8f6f630ff048ab7237a34b2cf8b5d56fb794858d5daa0f8e17bf26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09058",
    "kind": "arxiv",
    "version": 2
  }
}