Pith Number

pith:ZEUVIZZ2

pith:2015:ZEUVIZZ2OLIRXHXD6BCUXRBYOO

not attested not anchored not stored refs pending

A new extrapolation cascadic multigrid method for 3D elliptic boundary value problems on rectangular domains

Dongdong He, Hongling Hu, Kejia Pan

arxiv:1506.02983 v1 · 2015-06-09 · 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{ZEUVIZZ2OLIRXHXD6BCUXRBYOO}

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	2026-05-17T23:44:23.289614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92954673a72d11b9ee3f0454bc438738dad66a5dcdeb72599fd953ba77da7cd

Aliases

arxiv: 1506.02983 · arxiv_version: 1506.02983v1 · doi: 10.48550/arxiv.1506.02983 · pith_short_12: ZEUVIZZ2OLIR · pith_short_16: ZEUVIZZ2OLIRXHXD · pith_short_8: ZEUVIZZ2

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/ZEUVIZZ2OLIRXHXD6BCUXRBYOO \
  | 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: c92954673a72d11b9ee3f0454bc438738dad66a5dcdeb72599fd953ba77da7cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d7aa7e08e5ea563dd96a2677a285044edf3a180a1289f553290c6483b5c630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-06-09T16:24:36Z",
    "title_canon_sha256": "397bf1a2ed9ffd06785914ab8c36de2a3f007b6b3eca73d10be020726bb162c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02983",
    "kind": "arxiv",
    "version": 1
  }
}