Pith Number

pith:SUSFJ47Z

pith:2015:SUSFJ47ZEO24DVO4HRJZEEM77E

not attested not anchored not stored refs pending

Algebraic (Volume) Density Property for Affine Homogeneous Spaces

Frank Kutzschebauch, Shulim Kaliman

arxiv:1507.07604 v1 · 2015-07-27 · 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{SUSFJ47ZEO24DVO4HRJZEEM77E}

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	2026-05-18T01:36:04.422070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952454f3f923b5c1d5dc3c5392119ff90e2ee637d74a6907dbde5f1119cd545c

Aliases

arxiv: 1507.07604 · arxiv_version: 1507.07604v1 · doi: 10.48550/arxiv.1507.07604 · pith_short_12: SUSFJ47ZEO24 · pith_short_16: SUSFJ47ZEO24DVO4 · pith_short_8: SUSFJ47Z

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/SUSFJ47ZEO24DVO4HRJZEEM77E \
  | 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: 952454f3f923b5c1d5dc3c5392119ff90e2ee637d74a6907dbde5f1119cd545c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f5f38169e24399efcfd9f8984bef163a8153f56876541b6d79b6cb6c344011",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-27T23:41:09Z",
    "title_canon_sha256": "e5fdeb7e3fd797bd6c98c2ab75d3e25554a6a05f4b42e94313be2583400b0d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07604",
    "kind": "arxiv",
    "version": 1
  }
}