Pith Number

pith:HDQ7XQFI

pith:2010:HDQ7XQFIHMC6RSVSNRZPBPBBYZ

not attested not anchored not stored refs pending

An algorithm for primary decomposition in polynomial rings over the integers

Afshan Sadiq, Gerhard Pfister, Stefan Steidel

arxiv:1008.2074 v3 · 2010-08-12 · 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{HDQ7XQFIHMC6RSVSNRZPBPBBYZ}

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	2026-05-18T04:15:59.558876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e1fbc0a83b05e8cab26c72f0bc21c668f0d3e1dc22174ba59f5394e98e0881

Aliases

arxiv: 1008.2074 · arxiv_version: 1008.2074v3 · doi: 10.48550/arxiv.1008.2074 · pith_short_12: HDQ7XQFIHMC6 · pith_short_16: HDQ7XQFIHMC6RSVS · pith_short_8: HDQ7XQFI

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/HDQ7XQFIHMC6RSVSNRZPBPBBYZ \
  | 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: 38e1fbc0a83b05e8cab26c72f0bc21c668f0d3e1dc22174ba59f5394e98e0881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3210fbbfc5b0fb644715766c990d810f6b075d529be65e6ce454604bc7a41858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-12T09:20:26Z",
    "title_canon_sha256": "ec786d534d17dc672e005f45aa0667d6da85e374139c815832ca552736960a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2074",
    "kind": "arxiv",
    "version": 3
  }
}