Pith Number

pith:NCHITO4O

pith:2023:NCHITO4OGIIZ3MQRIJE2TN5VSC

not attested not anchored not stored refs pending

Noncommutative Gr\"obner Bases and Ext groups; Application to the Steenrod Algebra

Weinan Lin

arxiv:2304.00506 v1 · 2023-04-02 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCHITO4OGIIZ3MQRIJE2TN5VSC}

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	2026-07-05T05:57:18.528517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

688e89bb8e32119db2114249a9b7b59098dc34904a997543c0569a7f11a46422

Aliases

arxiv: 2304.00506 · arxiv_version: 2304.00506v1 · doi: 10.48550/arxiv.2304.00506 · pith_short_12: NCHITO4OGIIZ · pith_short_16: NCHITO4OGIIZ3MQR · pith_short_8: NCHITO4O

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/NCHITO4OGIIZ3MQRIJE2TN5VSC \
  | 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: 688e89bb8e32119db2114249a9b7b59098dc34904a997543c0569a7f11a46422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea31e901ef29a5a484ab3fa2af5cea9077ee5c7efef598c32e0c4bd53274eaa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-04-02T10:48:31Z",
    "title_canon_sha256": "7abc26ac7bfb2d48633b2f49929d88ef8f0a795b6269d207dfbbcfca1d9c0926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.00506",
    "kind": "arxiv",
    "version": 1
  }
}