Pith Number

pith:JKDN334J

pith:2006:JKDN334JCK5TXUNIVAOG6A5WKX

not attested not anchored not stored refs pending

The Tits alternative for non-spherical Pride groups

Gerald Williams, Natalia Kopteva

arxiv:math/0607528 v2 · 2006-07-21 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKDN334JCK5TXUNIVAOG6A5WKX}

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	2026-05-18T02:57:45.559232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a86ddef8912bb3bd1a8a81c6f03b655d849d7a4770d1031fb14b6c47bf90a72

Aliases

arxiv: math/0607528 · arxiv_version: math/0607528v2 · doi: 10.48550/arxiv.math/0607528 · pith_short_12: JKDN334JCK5T · pith_short_16: JKDN334JCK5TXUNI · pith_short_8: JKDN334J

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/JKDN334JCK5TXUNIVAOG6A5WKX \
  | 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: 4a86ddef8912bb3bd1a8a81c6f03b655d849d7a4770d1031fb14b6c47bf90a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6202a9f910229df05a277331a34a8fb9c9f851af60658b2fc07964b176a4ebe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-07-21T13:41:39Z",
    "title_canon_sha256": "cc290d20c071ae2af099d4c7270154de939a7a92e7fb44dd7f664963a97bf27d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607528",
    "kind": "arxiv",
    "version": 2
  }
}