Pith Number

pith:L5UXGVRE

pith:2024:L5UXGVRES2YKMFY3CZO6YHAY7G

not attested not anchored not stored refs pending

Tiling in some nonpositively curved groups

Joseph MacManus, Lawk Mineh

arxiv:2401.09545 v2 · 2024-01-17 · 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{L5UXGVRES2YKMFY3CZO6YHAY7G}

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	2026-05-18T03:09:47.142928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f6973562496b0a6171b165dec1c18f9893e62787735c3261e8aee1b5c507eb1

Aliases

arxiv: 2401.09545 · arxiv_version: 2401.09545v2 · doi: 10.48550/arxiv.2401.09545 · pith_short_12: L5UXGVRES2YK · pith_short_16: L5UXGVRES2YKMFY3 · pith_short_8: L5UXGVRE

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/L5UXGVRES2YKMFY3CZO6YHAY7G \
  | 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: 5f6973562496b0a6171b165dec1c18f9893e62787735c3261e8aee1b5c507eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1269689c7e1e61feba2a7d98a69e9a22c9bc2b6f130ce7ee4fad0f04fcdf8b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-01-17T19:01:01Z",
    "title_canon_sha256": "efeede59ac2ab7483c45fc979d9433baf9a31dcc566d3e3a43bbb8545579936f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09545",
    "kind": "arxiv",
    "version": 2
  }
}