Pith Number

pith:CWIOTFFV

pith:2004:CWIOTFFVQED5BDHSFHV4PSUEXB

not attested not anchored not stored refs pending

Limits of (certain) CAT(0) groups, I: Compactification

Daniel Groves

arxiv:math/0404440 v3 · 2004-04-23 · 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{CWIOTFFVQED5BDHSFHV4PSUEXB}

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	2026-05-18T02:41:32.457161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1590e994b58107d08cf229ebc7ca84b87a7f8ffb655dc0ad77170fef8e1a8a19

Aliases

arxiv: math/0404440 · arxiv_version: math/0404440v3 · doi: 10.48550/arxiv.math/0404440 · pith_short_12: CWIOTFFVQED5 · pith_short_16: CWIOTFFVQED5BDHS · pith_short_8: CWIOTFFV

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/CWIOTFFVQED5BDHSFHV4PSUEXB \
  | 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: 1590e994b58107d08cf229ebc7ca84b87a7f8ffb655dc0ad77170fef8e1a8a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387854af1d5cab13201248387eae3deae536262ae4246bddd4d62c15ac87c694",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-04-23T23:50:06Z",
    "title_canon_sha256": "10af307a24249aedf5bab6b1069e88a9bff3c74982cdae0258dbc43c2d12fbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404440",
    "kind": "arxiv",
    "version": 3
  }
}