Pith Number

pith:GVOO53WW

pith:2007:GVOO53WW4ZOO4EY2JTOCZIECEF

not attested not anchored not stored refs pending

Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups

Christopher Mooney

arxiv:0706.1581 v2 · 2007-06-11 · math.GT · 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{GVOO53WW4ZOO4EY2JTOCZIECEF}

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	2026-05-18T01:22:31.225230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355ceeeed6e65cee131a4cdc2ca0822169906a3dc7c044e30ec4f09c20999084

Aliases

arxiv: 0706.1581 · arxiv_version: 0706.1581v2 · doi: 10.48550/arxiv.0706.1581 · pith_short_12: GVOO53WW4ZOO · pith_short_16: GVOO53WW4ZOO4EY2 · pith_short_8: GVOO53WW

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/GVOO53WW4ZOO4EY2JTOCZIECEF \
  | 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: 355ceeeed6e65cee131a4cdc2ca0822169906a3dc7c044e30ec4f09c20999084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10fce2fe0a75999a5895144491542b2d9154483729f537364d32257ffc289f3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-06-11T21:24:54Z",
    "title_canon_sha256": "77ff4b3fc60f66b9b739a03e2c18f930fa684a835f3e146c1eb7d3543cf69fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1581",
    "kind": "arxiv",
    "version": 2
  }
}