Pith Number

pith:HGCZDYDY

pith:2013:HGCZDYDY7VVONL44GTKHFTTSKA

not attested not anchored not stored refs pending

On weight modules of algebras of twisted differential operators on the projective space

Dimitar Grantcharov, Vera Serganova

arxiv:1306.3673 v2 · 2013-06-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGCZDYDY7VVONL44GTKHFTTSKA}

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	2026-05-18T03:16:38.198382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398591e078fd6ae6af9c34d472ce72503da12470e1320711f4bad76b7c7cb321

Aliases

arxiv: 1306.3673 · arxiv_version: 1306.3673v2 · doi: 10.48550/arxiv.1306.3673 · pith_short_12: HGCZDYDY7VVO · pith_short_16: HGCZDYDY7VVONL44 · pith_short_8: HGCZDYDY

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/HGCZDYDY7VVONL44GTKHFTTSKA \
  | 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: 398591e078fd6ae6af9c34d472ce72503da12470e1320711f4bad76b7c7cb321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0e33cc253e34e45b695badb2e54909b94727e37c1a7b5b550fc8daf7471a1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-16T16:05:27Z",
    "title_canon_sha256": "1c8e3350b71a5472c3c3f851793b6b34cf505336ab2320e58150ef1719541dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3673",
    "kind": "arxiv",
    "version": 2
  }
}