Pith Number

pith:7LRWBIV6

pith:2011:7LRWBIV6GND6ZFS2NHPG2FYK4P

not attested not anchored not stored refs pending

Solving Linear Problems with Finite Precision III: Sharp Expectation Bounds

Dennis Cheung, Felipe Cucker

arxiv:1105.2169 v1 · 2011-05-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LRWBIV6GND6ZFS2NHPG2FYK4P}

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	2026-05-18T04:22:21.375680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae360a2be3347ec965a69de6d170ae3dbddf49a17d899f3528e9e51751b5709

Aliases

arxiv: 1105.2169 · arxiv_version: 1105.2169v1 · doi: 10.48550/arxiv.1105.2169 · pith_short_12: 7LRWBIV6GND6 · pith_short_16: 7LRWBIV6GND6ZFS2 · pith_short_8: 7LRWBIV6

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/7LRWBIV6GND6ZFS2NHPG2FYK4P \
  | 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: fae360a2be3347ec965a69de6d170ae3dbddf49a17d899f3528e9e51751b5709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff957d0fd0c883e82f86f2799a1a76d359efda647a5eb50d047ad68e48781de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-11T12:11:11Z",
    "title_canon_sha256": "648ca65c3cd277d4d27a782f3126acd5abb30fe5cdb5145598825d813f819240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2169",
    "kind": "arxiv",
    "version": 1
  }
}