Pith Number

pith:VHFSWI5K

pith:2026:VHFSWI5K45S76ULISWC6WSTHPQ

not attested not anchored not stored refs pending

Faster Deterministic Integer Root Finding for Integer Polynomials

Itamar Nir

arxiv:2608.00668 v1 · 2026-08-01 · math.NT · cs.DS · 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{VHFSWI5K45S76ULISWC6WSTHPQ}

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	2026-08-04T00:39:07.397995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cb2b23aae765ff51689585eb4a677c2c78358554f33dfd108d1c319a9fe842

Aliases

arxiv: 2608.00668 · arxiv_version: 2608.00668v1 · doi: 10.48550/arxiv.2608.00668 · pith_short_12: VHFSWI5K45S7 · pith_short_16: VHFSWI5K45S76ULI · pith_short_8: VHFSWI5K

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/VHFSWI5K45S76ULISWC6WSTHPQ \
  | 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: a9cb2b23aae765ff51689585eb4a677c2c78358554f33dfd108d1c319a9fe842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91bfcf8744792c469e5efd95cda7d9aa109ce915fbae22607542a4416802402",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-01T13:43:15Z",
    "title_canon_sha256": "9baa3d3108f18bc20c3dd52ec9da8987d1cb2959bcfceec862cfb342dd2430bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00668",
    "kind": "arxiv",
    "version": 1
  }
}