Pith Number

pith:QIAKHBML

pith:2026:QIAKHBMLY2YNPZC37I3H4HUY4L

not attested not anchored not stored refs pending

Quasi-linear Time Multiplication of Sparse Polynomials with Integer Coefficients

Qiao-Long Huang, Ruichen Qiu, Xiao-Shan Gao, Yichuan Cao

arxiv:2606.12100 v1 · 2026-06-10 · cs.SC · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIAKHBMLY2YNPZC37I3H4HUY4L}

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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	2026-06-11T01:10:48.124370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8200a3858bc6b0d7e45bfa367e1e98e2e4c9354419e17d7b5d2f20a617a18326

Aliases

arxiv: 2606.12100 · arxiv_version: 2606.12100v1 · doi: 10.48550/arxiv.2606.12100 · pith_short_12: QIAKHBMLY2YN · pith_short_16: QIAKHBMLY2YNPZC3 · pith_short_8: QIAKHBML

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/QIAKHBMLY2YNPZC37I3H4HUY4L \
  | 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: 8200a3858bc6b0d7e45bfa367e1e98e2e4c9354419e17d7b5d2f20a617a18326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a4c193874526b9e900f34e0ba5f04f73c78602424ea1003d1ee81de25e48ba",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-06-10T13:56:31Z",
    "title_canon_sha256": "04d760100ae2fa5f79a26f8b2d0ecdbec8847a15f05f57970a777e1893ad62fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12100",
    "kind": "arxiv",
    "version": 1
  }
}