Pith Number

pith:52O5JWNU

pith:2015:52O5JWNU3CFZ3SN5PJUCRVMH7O

not attested not anchored not stored refs pending

Projective modules and Gr\"obner bases for skew PBW extensions

Claudia Gallego, Oswaldo Lezama

arxiv:1510.03397 v1 · 2015-10-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52O5JWNU3CFZ3SN5PJUCRVMH7O}

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	2026-05-18T01:30:26.376785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9dd4d9b4d88b9dc9bd7a6828d587fb9c22b86caec611f2762a3fdb0ad4588f

Aliases

arxiv: 1510.03397 · arxiv_version: 1510.03397v1 · doi: 10.48550/arxiv.1510.03397 · pith_short_12: 52O5JWNU3CFZ · pith_short_16: 52O5JWNU3CFZ3SN5 · pith_short_8: 52O5JWNU

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/52O5JWNU3CFZ3SN5PJUCRVMH7O \
  | 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: ee9dd4d9b4d88b9dc9bd7a6828d587fb9c22b86caec611f2762a3fdb0ad4588f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008f8361c5265a2c52987b87e1feb24c6017582bfac021cb8b08205e22d0fd43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-12T19:18:24Z",
    "title_canon_sha256": "4b21bd6566e4da4ef19677c1360e7fad6846a461a64a9d0d0acb4dfba08535bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03397",
    "kind": "arxiv",
    "version": 1
  }
}