Pith Number

pith:JADVOFFJ

pith:2009:JADVOFFJ5XGXROPPQLU4RW6R6V

not attested not anchored not stored refs pending

Moduli of framed sheaves on projective surfaces

Dimitri Markushevich, Ugo Bruzzo

arxiv:0906.1436 v2 · 2009-06-08 · 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{JADVOFFJ5XGXROPPQLU4RW6R6V}

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	2026-05-18T04:18:13.070016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48075714a9edcd78b9ef82e9c8dbd1f54fcc646361ec15895b3b29657c03c35f

Aliases

arxiv: 0906.1436 · arxiv_version: 0906.1436v2 · doi: 10.48550/arxiv.0906.1436 · pith_short_12: JADVOFFJ5XGX · pith_short_16: JADVOFFJ5XGXROPP · pith_short_8: JADVOFFJ

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/JADVOFFJ5XGXROPPQLU4RW6R6V \
  | 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: 48075714a9edcd78b9ef82e9c8dbd1f54fcc646361ec15895b3b29657c03c35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c519cddb76d57f565c42dd29094da850ac3e9196d8c6bc27c85a004f938e3a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-08T10:00:14Z",
    "title_canon_sha256": "5b60b3feb5471cdd84b1e9e58a80e7573ddcc5a4ec2c3f8b609baae3e433ced6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1436",
    "kind": "arxiv",
    "version": 2
  }
}