Pith Number

pith:XQ5F6N6M

pith:2009:XQ5F6N6MLGTXCX2MFQF3PUYD7E

not attested not anchored not stored refs pending

Algebraic volume density property of affine algebraic manifolds

Frank Kutzschebauch, Shulim Kaliman

arxiv:0908.2416 v1 · 2009-08-17 · math.CV · 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{XQ5F6N6MLGTXCX2MFQF3PUYD7E}

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	2026-05-18T02:12:33.324439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3a5f37cc59a7715f4c2c0bb7d303f90873bcd6ea343848ea0893ad6fd6d255

Aliases

arxiv: 0908.2416 · arxiv_version: 0908.2416v1 · doi: 10.48550/arxiv.0908.2416 · pith_short_12: XQ5F6N6MLGTX · pith_short_16: XQ5F6N6MLGTXCX2M · pith_short_8: XQ5F6N6M

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/XQ5F6N6MLGTXCX2MFQF3PUYD7E \
  | 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: bc3a5f37cc59a7715f4c2c0bb7d303f90873bcd6ea343848ea0893ad6fd6d255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc6b565432781336d85d3e3dc7480a21dd554e8d5984809bc0660c088e737cb0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-08-17T19:33:31Z",
    "title_canon_sha256": "21b82956a5cb2d0d3f8001855dff15170d4b77fea37158b12ad192ed4d1a2821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2416",
    "kind": "arxiv",
    "version": 1
  }
}