Pith Number

pith:TMYGDW5M

pith:2020:TMYGDW5MPTCVA5J57IMXHV2XPO

not attested not anchored not stored refs pending

SPORES: Sum-Product Optimization via Relational Equality Saturation for Large Scale Linear Algebra

Bill Howe, Dan Suciu, Jonathan Leang, Shana Hutchison, Yisu Remy Wang

arxiv:2002.07951 v2 · 2020-02-19 · cs.DB · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMYGDW5MPTCVA5J57IMXHV2XPO}

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	2026-07-05T02:01:28.985235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3061dbac7cc550753dfa1973d7577ba0f54c0ff0a53789e24b1753cfb92bc8

Aliases

arxiv: 2002.07951 · arxiv_version: 2002.07951v2 · doi: 10.48550/arxiv.2002.07951 · pith_short_12: TMYGDW5MPTCV · pith_short_16: TMYGDW5MPTCVA5J5 · pith_short_8: TMYGDW5M

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/TMYGDW5MPTCVA5J57IMXHV2XPO \
  | 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: 9b3061dbac7cc550753dfa1973d7577ba0f54c0ff0a53789e24b1753cfb92bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "228b33b992090b66d81947301fb58ce813bafee33548692e7e98ff2a0e2c5b3a",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2020-02-19T01:15:17Z",
    "title_canon_sha256": "71333a18281ec201b18d6d5a20ec2d07ae4eb5840d5e5f32867700c9988b2dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.07951",
    "kind": "arxiv",
    "version": 2
  }
}