Pith Number

pith:BDQVMCGM

pith:2023:BDQVMCGMYAYMQXXRWOLVCJG5TF

not attested not anchored not stored refs pending

Factoring sparse polynomials fast

Alexander Demin, Joris van der Hoeven

arxiv:2312.17380 v2 · 2023-12-28 · cs.SC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDQVMCGMYAYMQXXRWOLVCJG5TF}

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	2026-07-05T10:19:21.611277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e15608ccc030c85ef1b3975124dd9965d74cc7dca1d6370fb02e96fedbdd71

Aliases

arxiv: 2312.17380 · arxiv_version: 2312.17380v2 · doi: 10.48550/arxiv.2312.17380 · pith_short_12: BDQVMCGMYAYM · pith_short_16: BDQVMCGMYAYMQXXR · pith_short_8: BDQVMCGM

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/BDQVMCGMYAYMQXXRWOLVCJG5TF \
  | 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: 08e15608ccc030c85ef1b3975124dd9965d74cc7dca1d6370fb02e96fedbdd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65562e23e59d4a853bdde3689841e5e1219a0822a5b0cf4ec89427cb6191e863",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2023-12-28T22:06:11Z",
    "title_canon_sha256": "593255277f3bd8b24eceb152a210473ff10a229737e4bf6b487f08c796fc8af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.17380",
    "kind": "arxiv",
    "version": 2
  }
}