Pith Number

pith:V73RSON4

pith:2010:V73RSON43D7XHIZIPUPNWEPYNJ

not attested not anchored not stored refs pending

Cell-Like Equivalences and Boundaries of CAT(0) Groups

Christopher Mooney, Craig Guilbault

arxiv:1011.1298 v1 · 2010-11-05 · 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{V73RSON43D7XHIZIPUPNWEPYNJ}

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	2026-05-18T04:36:58.800726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff71939bcd8ff73a3287d1edb11f86a493e3168e558977653f13279cad2c1b7

Aliases

arxiv: 1011.1298 · arxiv_version: 1011.1298v1 · doi: 10.48550/arxiv.1011.1298 · pith_short_12: V73RSON43D7X · pith_short_16: V73RSON43D7XHIZI · pith_short_8: V73RSON4

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/V73RSON43D7XHIZIPUPNWEPYNJ \
  | 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: aff71939bcd8ff73a3287d1edb11f86a493e3168e558977653f13279cad2c1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce21bdec167f521f32a3add78a0f60e2ad13cd066a8ce93239e457b09d027710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-05T00:10:11Z",
    "title_canon_sha256": "2b32807f0c414a4bac05cfe816358b4859526299b05010642b391d61ead8a204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1298",
    "kind": "arxiv",
    "version": 1
  }
}