Pith Number

pith:PZNPREO2

pith:2015:PZNPREO22YPQUT4T6VYEJNAOGO

not attested not anchored not stored refs pending

Output-sensitive algorithms for sumset and sparse polynomial multiplication

Andrew Arnold, Daniel S. Roche

arxiv:1501.05296 v3 · 2015-01-21 · cs.SC · cs.CC · 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{PZNPREO22YPQUT4T6VYEJNAOGO}

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	2026-05-18T02:17:54.278636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5af891dad61f0a4f93f57044b40e33b70daa500315a7cd3a7b77c7815f255e

Aliases

arxiv: 1501.05296 · arxiv_version: 1501.05296v3 · doi: 10.48550/arxiv.1501.05296 · pith_short_12: PZNPREO22YPQ · pith_short_16: PZNPREO22YPQUT4T · pith_short_8: PZNPREO2

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/PZNPREO22YPQUT4T6VYEJNAOGO \
  | 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: 7e5af891dad61f0a4f93f57044b40e33b70daa500315a7cd3a7b77c7815f255e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47701136bab5166ec37c90882e5c7994d3fcde4773d60e5a0f5d216c1f269d03",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-01-21T04:43:58Z",
    "title_canon_sha256": "64cd5079efc010cc346094f5d5ff94d6d626ceea38c3005a110611f30bbf6461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05296",
    "kind": "arxiv",
    "version": 3
  }
}