Pith Number

pith:3CZ7WLSP

pith:2025:3CZ7WLSPKN22C5OO624AQDU4VT

not attested not anchored not stored refs pending

On the connectedness of the boundary of hierarchically hyperbolic spaces

Ravi Tomar

arxiv:2509.00321 v1 · 2025-08-30 · 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{3CZ7WLSPKN22C5OO624AQDU4VT}

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	2026-07-05T12:02:13.680935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b3fb2e4f5375a175cef6b8080e9cacf8b59294223639d416f7bd0206ffb133

Aliases

arxiv: 2509.00321 · arxiv_version: 2509.00321v1 · doi: 10.48550/arxiv.2509.00321 · pith_short_12: 3CZ7WLSPKN22 · pith_short_16: 3CZ7WLSPKN22C5OO · pith_short_8: 3CZ7WLSP

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/3CZ7WLSPKN22C5OO624AQDU4VT \
  | 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: d8b3fb2e4f5375a175cef6b8080e9cacf8b59294223639d416f7bd0206ffb133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec2914276bf89be1dde0716046be6c1287bd24e270cd2ad7892c5d6e1ac5282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-08-30T02:47:34Z",
    "title_canon_sha256": "789b306443ae980877fca9c0e83cae7666a77ff99a32433fb8079a6ee122b1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00321",
    "kind": "arxiv",
    "version": 1
  }
}