Pith Number

pith:BHY4UPET

pith:2002:BHY4UPETECBB4IHE3ZXPKQG475

not attested not anchored not stored refs pending

On the CAT(0) dimension of 2-dimensional Bestvina-Brady groups

John Crisp

arxiv:math/0211130 v1 · 2002-11-07 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHY4UPETECBB4IHE3ZXPKQG475}

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	2026-05-18T02:41:32.817020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f1ca3c9320821e20e4de6ef540dcff498313de5a7caf5f4e8e22cee512f40a

Aliases

arxiv: math/0211130 · arxiv_version: math/0211130v1 · doi: 10.48550/arxiv.math/0211130 · pith_short_12: BHY4UPETECBB · pith_short_16: BHY4UPETECBB4IHE · pith_short_8: BHY4UPET

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/BHY4UPETECBB4IHE3ZXPKQG475 \
  | 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: 09f1ca3c9320821e20e4de6ef540dcff498313de5a7caf5f4e8e22cee512f40a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5a6321961c81f8c54dc486ce2e32a9d430e0da98c61fe8738fd06d5a2d2045",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-11-07T13:31:55Z",
    "title_canon_sha256": "8f1d0c1b31e4077a9d6abfc0530a627f2a625c07ba760932c83a4d8cf76623ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211130",
    "kind": "arxiv",
    "version": 1
  }
}