Pith Number

pith:XPRYKBQP

pith:2003:XPRYKBQP5JYVCOVZEF7EAYZ5M2

not attested not anchored not stored refs pending

Parabolic isometries of CAT(0) spaces and CAT(0) dimensions

Koji Fujiwara, Saeko Yamagata, Takashi Shioya

arxiv:math/0308274 v3 · 2003-08-28 · 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{XPRYKBQP5JYVCOVZEF7EAYZ5M2}

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	2026-05-18T02:41:32.618008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe385060fea71513ab9217e40633d66b4ce4744e3ca99ebd2399e4eb749313d

Aliases

arxiv: math/0308274 · arxiv_version: math/0308274v3 · doi: 10.48550/arxiv.math/0308274 · pith_short_12: XPRYKBQP5JYV · pith_short_16: XPRYKBQP5JYVCOVZ · pith_short_8: XPRYKBQP

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/XPRYKBQP5JYVCOVZEF7EAYZ5M2 \
  | 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: bbe385060fea71513ab9217e40633d66b4ce4744e3ca99ebd2399e4eb749313d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b186a2a18bdc2e57dd6d077e019279f48247073a643ef1e7868907dc5a228527",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-08-28T11:37:52Z",
    "title_canon_sha256": "a77e00beefa21a3d38bacdfe970f3d9b33752cac545540c61c1aadc9aa5a4b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308274",
    "kind": "arxiv",
    "version": 3
  }
}