Pith Number

pith:I7KPFDVF

pith:2014:I7KPFDVFNYULG4XLLHVP4FRWVZ

not attested not anchored not stored refs pending

An auxiliary space multigrid preconditioner for the weak Galerkin method

Junping Wang, Long Chen, Xiu Ye, Yanqiu Wang

arxiv:1410.1012 v1 · 2014-10-04 · 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{I7KPFDVFNYULG4XLLHVP4FRWVZ}

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	2026-05-18T02:41:02.998208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d4f28ea56e28b372eb59eafe1636ae477dad4e5b82c6d8e88e4a933292eef1

Aliases

arxiv: 1410.1012 · arxiv_version: 1410.1012v1 · doi: 10.48550/arxiv.1410.1012 · pith_short_12: I7KPFDVFNYUL · pith_short_16: I7KPFDVFNYULG4XL · pith_short_8: I7KPFDVF

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/I7KPFDVFNYULG4XLLHVP4FRWVZ \
  | 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: 47d4f28ea56e28b372eb59eafe1636ae477dad4e5b82c6d8e88e4a933292eef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f545391d6397783321e89b2ee28c1bc4753a6b8f29a3506a3eee051b1ed6ae80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-10-04T02:41:33Z",
    "title_canon_sha256": "f32557f6eee11bc09ae9831a05214e5672d915375a457296d3a6fa0190bd0092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1012",
    "kind": "arxiv",
    "version": 1
  }
}