Pith Number

pith:GD35XPU4

pith:2010:GD35XPU4MK36WHFS2JWVI44VRF

not attested not anchored not stored refs pending

Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces

Fabrizio Catanese (Universitaet Bayreuth), Ingrid Bauer

arxiv:1012.3770 v1 · 2010-12-16 · 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{GD35XPU4MK36WHFS2JWVI44VRF}

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	2026-05-18T04:33:03.890595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f7dbbe9c62b7eb1cb2d26d547395896b372dc843523adf9f3558c33e2a23ef

Aliases

arxiv: 1012.3770 · arxiv_version: 1012.3770v1 · doi: 10.48550/arxiv.1012.3770 · pith_short_12: GD35XPU4MK36 · pith_short_16: GD35XPU4MK36WHFS · pith_short_8: GD35XPU4

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/GD35XPU4MK36WHFS2JWVI44VRF \
  | 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: 30f7dbbe9c62b7eb1cb2d26d547395896b372dc843523adf9f3558c33e2a23ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d32d5c50b4ebc46655e13918ba46dd7683af00a4b86f90dc9b5d7f6294a3bf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-16T22:12:55Z",
    "title_canon_sha256": "3c2b0366e12288d471572ab17206d16953f8ec142773a09b7ddb3371cb1b9399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3770",
    "kind": "arxiv",
    "version": 1
  }
}