Pith Number

pith:UXEEGM4I

pith:2015:UXEEGM4IZSO6O2XFAMTGSNHLOX

not attested not anchored not stored refs pending

Sparsified Cholesky and Multigrid Solvers for Connection Laplacians

Daniel A. Spielman, Rasmus Kyng, Richard Peng, Sushant Sachdeva, Yin Tat Lee

arxiv:1512.01892 v1 · 2015-12-07 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXEEGM4IZSO6O2XFAMTGSNHLOX}

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	2026-05-18T01:25:10.102346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c8433388cc9de76ae503266934eb75f339ba77c94290843b74332886b1ffb3

Aliases

arxiv: 1512.01892 · arxiv_version: 1512.01892v1 · doi: 10.48550/arxiv.1512.01892 · pith_short_12: UXEEGM4IZSO6 · pith_short_16: UXEEGM4IZSO6O2XF · pith_short_8: UXEEGM4I

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/UXEEGM4IZSO6O2XFAMTGSNHLOX \
  | 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: a5c8433388cc9de76ae503266934eb75f339ba77c94290843b74332886b1ffb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8fb2bacc19fd80ff1cb99063d8b34d60a662d7e22cff76200303256257a010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-07T03:13:54Z",
    "title_canon_sha256": "6dbecea36fa2d148c2c292308d77b3692a856012db1f06fd4fdb6c338af604b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01892",
    "kind": "arxiv",
    "version": 1
  }
}