Pith Number

pith:P7DGBJRU

pith:1997:P7DGBJRURAH5WR5GQXCEG7N5KE

not attested not anchored not stored refs pending

Groups acting on CAT(0) cube complexes

Graham A. Niblo, Lawrence Reeves

arxiv:math/9702231 v1 · 1997-02-07 · math.GR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7DGBJRURAH5WR5GQXCEG7N5KE}

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	2026-05-18T02:37:59.376202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc660a634880fdb47a685c4437dbd512dbf1a5811f0b55009ed99685b7344a6

Aliases

arxiv: math/9702231 · arxiv_version: math/9702231v1 · doi: 10.48550/arxiv.math/9702231 · pith_short_12: P7DGBJRURAH5 · pith_short_16: P7DGBJRURAH5WR5G · pith_short_8: P7DGBJRU

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/P7DGBJRURAH5WR5GQXCEG7N5KE \
  | 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: 7fc660a634880fdb47a685c4437dbd512dbf1a5811f0b55009ed99685b7344a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc251ae5f980995de06bbe7c52e6cf3fd973483b91745db5624a7c01b8c7fe68",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1997-02-07T00:00:00Z",
    "title_canon_sha256": "6ab91910a63c4935572140af1da9ecb1f527df11f21d08b4869eef2f5562820a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9702231",
    "kind": "arxiv",
    "version": 1
  }
}