Pith Number

pith:Q4EK4MKS

pith:2015:Q4EK4MKSNCYZVZKSICGKTKPDQI

not attested not anchored not stored refs pending

PhaseLift is robust to a constant fraction of arbitrary errors

Paul Hand

arxiv:1502.04241 v1 · 2015-02-14 · 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{Q4EK4MKSNCYZVZKSICGKTKPDQI}

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	2026-05-18T02:27:00.157453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8708ae315268b19ae552408ca9a9e382042f2a34a8363254dd63de1b26c2c436

Aliases

arxiv: 1502.04241 · arxiv_version: 1502.04241v1 · doi: 10.48550/arxiv.1502.04241 · pith_short_12: Q4EK4MKSNCYZ · pith_short_16: Q4EK4MKSNCYZVZKS · pith_short_8: Q4EK4MKS

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/Q4EK4MKSNCYZVZKSICGKTKPDQI \
  | 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: 8708ae315268b19ae552408ca9a9e382042f2a34a8363254dd63de1b26c2c436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09645b46c05a7d4733e7e741f5f657265ad341db59b2f0df9000fc29235883f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-14T20:32:35Z",
    "title_canon_sha256": "e22816e94d450f54db8fb05462f7128668f84c8dbd4e18e7890788f59f309182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04241",
    "kind": "arxiv",
    "version": 1
  }
}