Pith Number

pith:663FOJ5Z

pith:2016:663FOJ5ZSXUN5VTFBKMHBQX5WR

not attested not anchored not stored refs pending

The radical of an n-absorbing ideal

Andrew Walker, Hyun Seung Choi

arxiv:1610.10077 v1 · 2016-10-31 · 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{663FOJ5ZSXUN5VTFBKMHBQX5WR}

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	2026-05-18T01:00:46.618003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b65727b995e8ded6650a9870c2fdb475666eff5919a02930d64949bb4d1ab2

Aliases

arxiv: 1610.10077 · arxiv_version: 1610.10077v1 · doi: 10.48550/arxiv.1610.10077 · pith_short_12: 663FOJ5ZSXUN · pith_short_16: 663FOJ5ZSXUN5VTF · pith_short_8: 663FOJ5Z

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/663FOJ5ZSXUN5VTFBKMHBQX5WR \
  | 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: f7b65727b995e8ded6650a9870c2fdb475666eff5919a02930d64949bb4d1ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c3d17f4539f0d09849da28db766be4b9c5eb5c5f0d9cfb1931e60a6e2550ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-31T19:19:59Z",
    "title_canon_sha256": "4187d4d0fcf1a1a3b000184176284a363493fc3e4a02dfd8b3f0f2a9e0729346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10077",
    "kind": "arxiv",
    "version": 1
  }
}