Pith Number

pith:I3X2AU4S

pith:2026:I3X2AU4SDKUV3VEVTEBNLVSWI7

not attested not anchored not stored refs pending

A black-box, multilevel algebraic preconditioning framework for conforming finite elements

B. S. Southworth, G. A. Wimmer, O. A. Krzysik

arxiv:2607.07485 v1 · 2026-07-08 · math.NA · cs.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{I3X2AU4SDKUV3VEVTEBNLVSWI7}

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	2026-07-09T01:20:26.092842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46efa053921aa95dd4959902d5d65647c9642eb228e35aa07f9acf3480387a20

Aliases

arxiv: 2607.07485 · arxiv_version: 2607.07485v1 · doi: 10.48550/arxiv.2607.07485 · pith_short_12: I3X2AU4SDKUV · pith_short_16: I3X2AU4SDKUV3VEV · pith_short_8: I3X2AU4S

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/I3X2AU4SDKUV3VEVTEBNLVSWI7 \
  | 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: 46efa053921aa95dd4959902d5d65647c9642eb228e35aa07f9acf3480387a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec48fb5cc39df62bc8e2635d36bf069a477506d0ab992a81b4559732703d6ae4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-08T14:47:56Z",
    "title_canon_sha256": "a2d47b28fcc87a6558f93f8a7206818197ce2dfdab1d9cbc2d14eb9ab53f9639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07485",
    "kind": "arxiv",
    "version": 1
  }
}