Pith Number

pith:GDREZALG

pith:2013:GDREZALGZH67CSG2A5Z5AZAFNG

not attested not anchored not stored refs pending

Koszul property of diagonal subalgebras

Neeraj Kumar

arxiv:1307.7381 v2 · 2013-07-28 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDREZALGZH67CSG2A5Z5AZAFNG}

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	2026-05-18T03:17:02.569814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e24c8166c9fdf148da0773d06405698ef88d2407f03b849b91e1535e5f47be

Aliases

arxiv: 1307.7381 · arxiv_version: 1307.7381v2 · doi: 10.48550/arxiv.1307.7381 · pith_short_12: GDREZALGZH67 · pith_short_16: GDREZALGZH67CSG2 · pith_short_8: GDREZALG

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/GDREZALGZH67CSG2A5Z5AZAFNG \
  | 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: 30e24c8166c9fdf148da0773d06405698ef88d2407f03b849b91e1535e5f47be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02cdfe3a7abbcedaffaa631e73156b3f400205f05a2cfbf9536fdbb70e36d87",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-28T16:53:11Z",
    "title_canon_sha256": "0db3c87cf8608d5133d46bd0a6e68c879b2cb266c4c828051f3e0f3158015fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7381",
    "kind": "arxiv",
    "version": 2
  }
}