Pith Number

pith:5RG6QPK2

pith:2016:5RG6QPK2FBSBNQ2XUCCL62C3CY

not attested not anchored not stored refs pending

Multigrid In Energy Preconditioner for Krylov Solvers

G. G. Davidson, P. P. H. Wilson, R. N. Slaybaugh, T. M. Evans

arxiv:1612.00907 v1 · 2016-12-03 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RG6QPK2FBSBNQ2XUCCL62C3CY}

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	2026-05-18T00:55:06.342507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4de83d5a286416c357a084bf685b1636f7567a675c88b3a437996da2885986

Aliases

arxiv: 1612.00907 · arxiv_version: 1612.00907v1 · doi: 10.48550/arxiv.1612.00907 · pith_short_12: 5RG6QPK2FBSB · pith_short_16: 5RG6QPK2FBSBNQ2X · pith_short_8: 5RG6QPK2

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/5RG6QPK2FBSBNQ2XUCCL62C3CY \
  | 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: ec4de83d5a286416c357a084bf685b1636f7567a675c88b3a437996da2885986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d4372e42d54b25448ee8f378ff8f707e647d220e7568bd04896b84e8b9f5f1",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-03T01:06:57Z",
    "title_canon_sha256": "59cce09148ab9376361361f08413cb1581d1891d6ef940dad2659502f8f08028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00907",
    "kind": "arxiv",
    "version": 1
  }
}