Pith Number

pith:CTLRLCHD

pith:2021:CTLRLCHDS2F65OBMVPYC3BMCKW

not attested not anchored not stored refs pending

A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals

Laia Amor\'os, Laura Jakobsson, Oleksandra Gasanova

arxiv:2109.11417 v1 · 2021-09-23 · 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{CTLRLCHDS2F65OBMVPYC3BMCKW}

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	2026-07-05T03:16:57.626548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d71588e3968beeb82cabf02d858255b5c8e96034c374ed24d0e4b0d38555a3

Aliases

arxiv: 2109.11417 · arxiv_version: 2109.11417v1 · doi: 10.48550/arxiv.2109.11417 · pith_short_12: CTLRLCHDS2F6 · pith_short_16: CTLRLCHDS2F65OBM · pith_short_8: CTLRLCHD

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/CTLRLCHDS2F65OBMVPYC3BMCKW \
  | 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: 14d71588e3968beeb82cabf02d858255b5c8e96034c374ed24d0e4b0d38555a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c745e9fd7cb0fca9a391214afbc72afd2c7f7f617a7c9921094725ea7cb4ddd1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-09-23T14:54:59Z",
    "title_canon_sha256": "0f0f4a3111a8ee34226f77735cde56b659af88f602283535ab478ab293bf5f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11417",
    "kind": "arxiv",
    "version": 1
  }
}