Pith Number

pith:WNXC6DOH

pith:2019:WNXC6DOHP72F4XCCNSGPY3H5BT

not attested not anchored not stored refs pending

Radical factorization in finitary ideal systems

Andreas Reinhart, Bruce Olberding

arxiv:1903.09237 v2 · 2019-03-21 · 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{WNXC6DOHP72F4XCCNSGPY3H5BT}

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	2026-05-17T23:42:41.988265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36e2f0dc77ff45e5c426c8cfc6cfd0cd81a36a76f322536578a04b065815a99

Aliases

arxiv: 1903.09237 · arxiv_version: 1903.09237v2 · doi: 10.48550/arxiv.1903.09237 · pith_short_12: WNXC6DOHP72F · pith_short_16: WNXC6DOHP72F4XCC · pith_short_8: WNXC6DOH

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/WNXC6DOHP72F4XCCNSGPY3H5BT \
  | 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: b36e2f0dc77ff45e5c426c8cfc6cfd0cd81a36a76f322536578a04b065815a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f3c678fbf70cb3af1981caef18da8d5e3a70316e62556b8c02dd65517c30dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-03-21T21:04:38Z",
    "title_canon_sha256": "b410146ea34e97a365aa960be7bf6a88b50f2ca7876b47928e9c1937ec547867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09237",
    "kind": "arxiv",
    "version": 2
  }
}