Pith Number

pith:D3YEIPZX

pith:2024:D3YEIPZXN3YQCXXDHR3WGLDMZA

not attested not anchored not stored refs pending

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space

Tetsu Toyoda

arxiv:2411.13877 v2 · 2024-11-21 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3YEIPZXN3YQCXXDHR3WGLDMZA}

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	2026-07-05T10:31:50.681583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef0443f376ef1015ee33c77632c6cc8345affd5cdc346add9e4a8c41d7cec82

Aliases

arxiv: 2411.13877 · arxiv_version: 2411.13877v2 · doi: 10.48550/arxiv.2411.13877 · pith_short_12: D3YEIPZXN3YQ · pith_short_16: D3YEIPZXN3YQCXXD · pith_short_8: D3YEIPZX

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/D3YEIPZXN3YQCXXDHR3WGLDMZA \
  | 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: 1ef0443f376ef1015ee33c77632c6cc8345affd5cdc346add9e4a8c41d7cec82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6846b61e15b877bc3413b5b242cecba4cc8c54217b6cdce36ece921a8ee08a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-11-21T06:24:15Z",
    "title_canon_sha256": "ba2d1e16e84022ede2a0d6e3f976d5673e8fb948a5fc809c72362b58058d25db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13877",
    "kind": "arxiv",
    "version": 2
  }
}