Pith Number

pith:W3YI7VRF

pith:2009:W3YI7VRFEBXITG4QLXSXUF7Q7L

not attested not anchored not stored refs pending

Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces

Daniel Farley

arxiv:0902.1355 v1 · 2009-02-09 · 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{W3YI7VRFEBXITG4QLXSXUF7Q7L}

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	2026-05-18T02:41:51.354558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f08fd625206e899b905de57a17f0fad16d388236e3abe0980225eb7519992f

Aliases

arxiv: 0902.1355 · arxiv_version: 0902.1355v1 · doi: 10.48550/arxiv.0902.1355 · pith_short_12: W3YI7VRFEBXI · pith_short_16: W3YI7VRFEBXITG4Q · pith_short_8: W3YI7VRF

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/W3YI7VRFEBXITG4QLXSXUF7Q7L \
  | 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: b6f08fd625206e899b905de57a17f0fad16d388236e3abe0980225eb7519992f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5cd4d0d5b0b4c089056557eb032d277c06a5716c25316f9284e705ca3be4f3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-02-09T01:44:43Z",
    "title_canon_sha256": "27c6ef4bdf41dba5fa7b3a59d670df82d168acbf08e4576548cea9b791f4f319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1355",
    "kind": "arxiv",
    "version": 1
  }
}