Pith Number

pith:PA53ISGM

pith:2011:PA53ISGM4PBA3BJHBQMZTTQSMI

not attested not anchored not stored refs pending

Relative singularity category of a non-commutative resolution of singularities

Igor Burban, Martin Kalck

arxiv:1103.3936 v3 · 2011-03-21 · math.AG · 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{PA53ISGM4PBA3BJHBQMZTTQSMI}

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	2026-05-18T03:55:24.988383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783bb448cce3c20d85270c1999ce126216114ccf38960fd46c7598222e6c279b

Aliases

arxiv: 1103.3936 · arxiv_version: 1103.3936v3 · doi: 10.48550/arxiv.1103.3936 · pith_short_12: PA53ISGM4PBA · pith_short_16: PA53ISGM4PBA3BJH · pith_short_8: PA53ISGM

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/PA53ISGM4PBA3BJHBQMZTTQSMI \
  | 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: 783bb448cce3c20d85270c1999ce126216114ccf38960fd46c7598222e6c279b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a543fd7086f2725709e12baea0f7a12e6afe82c35684a9fc775cce7b04c7b819",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-21T08:12:51Z",
    "title_canon_sha256": "6db00347a80768626af2454a7bc7d97b0193ae81db25940472548d67c0612a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3936",
    "kind": "arxiv",
    "version": 3
  }
}