Pith Number

pith:XZF6F4OW

pith:2012:XZF6F4OW6W2WUKMNWUJFSOND2W

not attested not anchored not stored refs pending

Determinantal Barlow surfaces and phantom categories

Christian B\"ohning, Hans-Christian Graf von Bothmer, Ludmil Katzarkov, Pawel Sosna

arxiv:1210.0343 v1 · 2012-10-01 · math.AG · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZF6F4OW6W2WUKMNWUJFSOND2W}

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.

Cited by

1 paper in Pith

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-05-18T00:34:45.264066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4be2f1d6f5b56a298db5125939a3d5b14ccb1501b89da538c168d3dbbda789

Aliases

arxiv: 1210.0343 · arxiv_version: 1210.0343v1 · doi: 10.48550/arxiv.1210.0343 · pith_short_12: XZF6F4OW6W2W · pith_short_16: XZF6F4OW6W2WUKMN · pith_short_8: XZF6F4OW

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/XZF6F4OW6W2WUKMNWUJFSOND2W \
  | 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: be4be2f1d6f5b56a298db5125939a3d5b14ccb1501b89da538c168d3dbbda789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27004b596a764a232b38303586d957f280e24eb3055113e834c9c4d8844af06b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-01T10:30:40Z",
    "title_canon_sha256": "95829fe1edad04250ae7cfc51bece8c582dd45dfe6795edef3fed04fbd96c943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0343",
    "kind": "arxiv",
    "version": 1
  }
}