Pith Number

pith:EQ4YW7BY

pith:2015:EQ4YW7BYFT33U536DLRIOBJZBR

not attested not anchored not stored refs pending

Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Elliptic Equations

Qi Tang, Wei Guo, Yingda Cheng, Zixuan Wang

arxiv:1508.07781 v1 · 2015-08-31 · 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{EQ4YW7BYFT33U536DLRIOBJZBR}

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	2026-05-18T01:16:49.073553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24398b7c382cf7ba777e1ae28705390c5b41fc3d60e056decf31b15cb3fdef72

Aliases

arxiv: 1508.07781 · arxiv_version: 1508.07781v1 · doi: 10.48550/arxiv.1508.07781 · pith_short_12: EQ4YW7BYFT33 · pith_short_16: EQ4YW7BYFT33U536 · pith_short_8: EQ4YW7BY

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/EQ4YW7BYFT33U536DLRIOBJZBR \
  | 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: 24398b7c382cf7ba777e1ae28705390c5b41fc3d60e056decf31b15cb3fdef72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6406e8f187f874c4b2210b393755806c1daab1c7637a6faa6c1107e22012b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-31T12:21:52Z",
    "title_canon_sha256": "f4e28993e7743a19357335aed323e6d97a57083098e4199abab73b9220a733f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07781",
    "kind": "arxiv",
    "version": 1
  }
}