Pith Number

pith:MXS6GTHZ

pith:2013:MXS6GTHZFJBZA7KDD2R5N6HAF2

not attested not anchored not stored refs pending

On the essential dimension of coherent sheaves

Ajneet Dhillon, Indranil Biswas, Norbert Hoffmann

arxiv:1306.6432 v2 · 2013-06-27 · 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{MXS6GTHZFJBZA7KDD2R5N6HAF2}

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	2026-05-18T02:32:22.636092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e5e34cf92a43907d431ea3d6f8e02ea8af9e94b74d8ad0fce159ad399efb6a

Aliases

arxiv: 1306.6432 · arxiv_version: 1306.6432v2 · doi: 10.48550/arxiv.1306.6432 · pith_short_12: MXS6GTHZFJBZ · pith_short_16: MXS6GTHZFJBZA7KD · pith_short_8: MXS6GTHZ

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/MXS6GTHZFJBZA7KDD2R5N6HAF2 \
  | 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: 65e5e34cf92a43907d431ea3d6f8e02ea8af9e94b74d8ad0fce159ad399efb6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafebe692bcb482bbcd21d2de35a46d5adb19dc716c27d05ef151ba5873cf634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-27T08:27:40Z",
    "title_canon_sha256": "976500915c27e492a820cdd3f6b30ac39965ec1de7046615be9cac66b8f2027f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6432",
    "kind": "arxiv",
    "version": 2
  }
}