Pith Number

pith:5AISA5AH

pith:2016:5AISA5AHPAPDRMDSFUUDXY77JM

not attested not anchored not stored refs pending

Finding binomials in polynomial ideals

Anders Jensen, Lukas Katth\"an, Thomas Kahle

arxiv:1607.02135 v2 · 2016-07-07 · math.AC · 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{5AISA5AHPAPDRMDSFUUDXY77JM}

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	2026-05-18T00:46:16.607717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e811207407781e38b0722d283be3ff4b27fd9bca75986ce9e8911155dc760310

Aliases

arxiv: 1607.02135 · arxiv_version: 1607.02135v2 · doi: 10.48550/arxiv.1607.02135 · pith_short_12: 5AISA5AHPAPD · pith_short_16: 5AISA5AHPAPDRMDS · pith_short_8: 5AISA5AH

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/5AISA5AHPAPDRMDSFUUDXY77JM \
  | 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: e811207407781e38b0722d283be3ff4b27fd9bca75986ce9e8911155dc760310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbf4697cd862b90b6b1a5ee260619626efb9bac08bb1ef44773cbad99d3826f",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-07T19:56:31Z",
    "title_canon_sha256": "14179b06fee50f37fa63eba3edafc1c543e2e7873aae0b9ac366d1aec63828a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02135",
    "kind": "arxiv",
    "version": 2
  }
}