Pith Number

pith:43DWPR2D

pith:2018:43DWPR2DXROBZY47HUYZTE2HAU

not attested not anchored not stored refs pending

Convexity in hierarchically hyperbolic spaces

Davide Spriano, Hung Cong Tran, Jacob Russell

arxiv:1809.09303 v4 · 2018-09-25 · math.GR · math.GT · 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{43DWPR2DXROBZY47HUYZTE2HAU}

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

Hierarchically hyperbolic groups and uniform exponential growth

Receipt and verification

First computed	2026-07-05T02:50:04.043097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c767c743bc5c1ce39f3d31999347051f28be16c08cc6e91b74f68d4f010fa6

Aliases

arxiv: 1809.09303 · arxiv_version: 1809.09303v4 · doi: 10.48550/arxiv.1809.09303 · pith_short_12: 43DWPR2DXROB · pith_short_16: 43DWPR2DXROBZY47 · pith_short_8: 43DWPR2D

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/43DWPR2DXROBZY47HUYZTE2HAU \
  | 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: e6c767c743bc5c1ce39f3d31999347051f28be16c08cc6e91b74f68d4f010fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f85d8484f930523b30a8657d2a52d3d5fbfe00caf7c1fc4d70bf88a80b4b24c",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-25T03:20:58Z",
    "title_canon_sha256": "fb19408879875a37855a40e2a0242f3876917eb9893699850458111e3089d3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09303",
    "kind": "arxiv",
    "version": 4
  }
}