Pith Number

pith:RAU3IWQY

pith:2012:RAU3IWQYTJ5VMPA6NGGVDBXILH

not attested not anchored not stored refs pending

Analytic moduli spaces of simple sheaves on families of integral curves

Bernd Kreussler, Igor Burban

arxiv:1212.5477 v2 · 2012-12-21 · 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{RAU3IWQYTJ5VMPA6NGGVDBXILH}

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	2026-05-18T03:26:41.016360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8829b45a189a7b563c1e698d5186e859f16f88156475dfb84c39f7005953d7a6

Aliases

arxiv: 1212.5477 · arxiv_version: 1212.5477v2 · doi: 10.48550/arxiv.1212.5477 · pith_short_12: RAU3IWQYTJ5V · pith_short_16: RAU3IWQYTJ5VMPA6 · pith_short_8: RAU3IWQY

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/RAU3IWQYTJ5VMPA6NGGVDBXILH \
  | 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: 8829b45a189a7b563c1e698d5186e859f16f88156475dfb84c39f7005953d7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39248d9432e0abd14741e97fbbac7f3ccdd5bebc047649620c1aca8bd82e9f53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-21T15:09:38Z",
    "title_canon_sha256": "4d40f7c017827f999ae1ae728fbd85a5fa99053975bfc2cc62b2a5eb765d2c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5477",
    "kind": "arxiv",
    "version": 2
  }
}