Pith Number

pith:GZXCBTAI

pith:2015:GZXCBTAIG6ARIC5IUMBYD47VXM

not attested not anchored not stored refs pending

Deformations of algebras defined by tilting bundles

Joseph Karmazyn

arxiv:1505.04049 v1 · 2015-05-15 · math.AG · 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{GZXCBTAIG6ARIC5IUMBYD47VXM}

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	2026-05-18T02:09:40.311433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366e20cc083781140ba8a30381f3f5bb3221104a82abc7aaa7834d9031d4e976

Aliases

arxiv: 1505.04049 · arxiv_version: 1505.04049v1 · doi: 10.48550/arxiv.1505.04049 · pith_short_12: GZXCBTAIG6AR · pith_short_16: GZXCBTAIG6ARIC5I · pith_short_8: GZXCBTAI

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/GZXCBTAIG6ARIC5IUMBYD47VXM \
  | 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: 366e20cc083781140ba8a30381f3f5bb3221104a82abc7aaa7834d9031d4e976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f741e73921d4acbc0075696df146d48b28e27649e2f4e04505f27822292dfa6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-15T12:33:08Z",
    "title_canon_sha256": "7843886112f3c4349c1b1176abb43dbb2ede491c967e97d666621b2cce8cb73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04049",
    "kind": "arxiv",
    "version": 1
  }
}