Pith Number

pith:5IEGMC3D

pith:2017:5IEGMC3DD2WTELTWPLF5GJYHIZ

not attested not anchored not stored refs pending

Generators of reductions of ideals in a local Noetherian ring with finite residue field

Bruce Olberding, Louiza Fouli

arxiv:1708.04770 v2 · 2017-08-16 · 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{5IEGMC3DD2WTELTWPLF5GJYHIZ}

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	2026-05-18T00:04:39.949309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea08660b631ead322e767acbd327074674cda9281e1ad65d7c2474d08ee3d0b4

Aliases

arxiv: 1708.04770 · arxiv_version: 1708.04770v2 · doi: 10.48550/arxiv.1708.04770 · pith_short_12: 5IEGMC3DD2WT · pith_short_16: 5IEGMC3DD2WTELTW · pith_short_8: 5IEGMC3D

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/5IEGMC3DD2WTELTWPLF5GJYHIZ \
  | 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: ea08660b631ead322e767acbd327074674cda9281e1ad65d7c2474d08ee3d0b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d565db7a99dfbabbc35496c33a29aec19f5d5d230af3532854033b51e23c66c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-16T05:11:04Z",
    "title_canon_sha256": "046c32885169562ef15fe09ecc09780d3591cb0b9b874198a3c5c9d02f2df0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04770",
    "kind": "arxiv",
    "version": 2
  }
}