Pith Number

pith:TYSDHREX

pith:2008:TYSDHREXNJUJG543FMI6QW6P54

not attested not anchored not stored refs pending

Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields

Bruno Salvy (INRIA Rocquencourt), Jean-Guillaume Dumas (LJK), Laurent Fousse (LJK)

arxiv:0809.0063 v1 · 2008-08-30 · cs.SC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYSDHREXNJUJG543FMI6QW6P54}

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	2026-05-18T03:20:45.815068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2433c4976a6893779b2b11e85bcfef366b189e14e00598b4746da301972671

Aliases

arxiv: 0809.0063 · arxiv_version: 0809.0063v1 · doi: 10.48550/arxiv.0809.0063 · pith_short_12: TYSDHREXNJUJ · pith_short_16: TYSDHREXNJUJG543 · pith_short_8: TYSDHREX

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/TYSDHREXNJUJG543FMI6QW6P54 \
  | 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: 9e2433c4976a6893779b2b11e85bcfef366b189e14e00598b4746da301972671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691e24db1b78382fb8db78e0a50b10514d8d4ce0d723cddd26ad6db094fc3645",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2008-08-30T14:28:23Z",
    "title_canon_sha256": "e28ccaf6250515c7d76d36ba19761cab8db8328861961780a708c5867a466599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0063",
    "kind": "arxiv",
    "version": 1
  }
}