Pith Number

pith:6GJY5OVB

pith:2011:6GJY5OVBQPUML7PZEXEKFUXL76

not attested not anchored not stored refs pending

On a Generalization of Zaslavsky's Theorem for Hyperplane Arrangements

Priyavrat Deshpande

arxiv:1111.1251 v3 · 2011-11-04 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GJY5OVBQPUML7PZEXEKFUXL76}

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	2026-05-18T02:57:33.990362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1938ebaa183e8c5fdf925c8a2d2ebff91951bdfc3a5a70e034e9ccc2f7748d1

Aliases

arxiv: 1111.1251 · arxiv_version: 1111.1251v3 · doi: 10.48550/arxiv.1111.1251 · pith_short_12: 6GJY5OVBQPUM · pith_short_16: 6GJY5OVBQPUML7PZ · pith_short_8: 6GJY5OVB

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/6GJY5OVBQPUML7PZEXEKFUXL76 \
  | 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: f1938ebaa183e8c5fdf925c8a2d2ebff91951bdfc3a5a70e034e9ccc2f7748d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bebd191e081f705fced82d509f0d11fc151243daabc0cbc42d38dba7becc423",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-04T21:10:36Z",
    "title_canon_sha256": "0c69e0146ea11ec2c47d8cbc78ebb14702e4ea5e0bb1e07611306ac579b0fca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1251",
    "kind": "arxiv",
    "version": 3
  }
}