Pith Number

pith:SWZUTG45

pith:2023:SWZUTG45DP25OWBQMQEJ4HUKNH

not attested not anchored not stored refs pending

Relative hyperbolicity, thickness, and the hierarchically hyperbolic boundary

Carolyn Abbott, Jacob Russell, Jason Behrstock

arxiv:2305.16906 v1 · 2023-05-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWZUTG45DP25OWBQMQEJ4HUKNH}

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.

Cited by

1 paper in Pith

On the connectedness of the boundary of hierarchically hyperbolic spaces

Receipt and verification

First computed	2026-07-05T06:14:19.060697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b3499b9d1bf5d7583064089e1e8a69ea0558dca15d24d699965e7a722610e0

Aliases

arxiv: 2305.16906 · arxiv_version: 2305.16906v1 · doi: 10.48550/arxiv.2305.16906 · pith_short_12: SWZUTG45DP25 · pith_short_16: SWZUTG45DP25OWBQ · pith_short_8: SWZUTG45

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/SWZUTG45DP25OWBQMQEJ4HUKNH \
  | 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: 95b3499b9d1bf5d7583064089e1e8a69ea0558dca15d24d699965e7a722610e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ef2a4c6c27c86943c8e1178a138d8170b6e972d43f1e0b5db98ff610c136df",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-26T13:19:42Z",
    "title_canon_sha256": "088450f7e0ebb20b124f7a8fe1c8536de8278ec30e33ba1c344557021fe550b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16906",
    "kind": "arxiv",
    "version": 1
  }
}