Pith Number

pith:WAQHIEU5

pith:2025:WAQHIEU57WCZPD4O6NZQ7V2U67

not attested not anchored not stored refs pending

Flip Graphs for Polynomial Multiplication

Manuel Kauers, Shaoshi Chen

arxiv:2502.06264 v1 · 2025-02-10 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAQHIEU57WCZPD4O6NZQ7V2U67}

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	2026-07-05T10:11:49.754888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02074129dfd85978f8ef3730fd754f7e9f4544b6dd2138c6923a122e8304fba

Aliases

arxiv: 2502.06264 · arxiv_version: 2502.06264v1 · doi: 10.48550/arxiv.2502.06264 · pith_short_12: WAQHIEU57WCZ · pith_short_16: WAQHIEU57WCZPD4O · pith_short_8: WAQHIEU5

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/WAQHIEU57WCZPD4O6NZQ7V2U67 \
  | 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: b02074129dfd85978f8ef3730fd754f7e9f4544b6dd2138c6923a122e8304fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beab81ae9658d3f694f323fba990e27833504af3ef5c127650f0e06a90e0a373",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2025-02-10T08:58:11Z",
    "title_canon_sha256": "bd90926b3e5b1a2ba41e6b7338d6cb71e8473de3d647cccd0e8efcc028873f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06264",
    "kind": "arxiv",
    "version": 1
  }
}