Pith Number

pith:JFVXHUIF

pith:2017:JFVXHUIF5ZLQZC76G5KMOVR2GP

not attested not anchored not stored refs pending

Spectrum Approximation Beyond Fast Matrix Multiplication: Algorithms and Hardness

Aaron Sidford, Cameron Musco, David P. Woodruff, Praneeth Netrapalli, Shashanka Ubaru

arxiv:1704.04163 v3 · 2017-04-13 · cs.DS · cs.LG · math.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{JFVXHUIF5ZLQZC76G5KMOVR2GP}

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	2026-05-17T23:57:03.381726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496b73d105ee570c8bfe3754c7563a33e0b08d89be9def00016fabfaa37b4d5d

Aliases

arxiv: 1704.04163 · arxiv_version: 1704.04163v3 · doi: 10.48550/arxiv.1704.04163 · pith_short_12: JFVXHUIF5ZLQ · pith_short_16: JFVXHUIF5ZLQZC76 · pith_short_8: JFVXHUIF

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/JFVXHUIF5ZLQZC76G5KMOVR2GP \
  | 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: 496b73d105ee570c8bfe3754c7563a33e0b08d89be9def00016fabfaa37b4d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c42c331eb1a776a8f944025002eca028b48b310c17c6648f35312de93798a1",
    "cross_cats_sorted": [
      "cs.LG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-04-13T14:55:23Z",
    "title_canon_sha256": "16f77dff046b9d0acbc5bbfa8a4382210e65c559d8c6d2f285a9b3973d893ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04163",
    "kind": "arxiv",
    "version": 3
  }
}