Pith Number

pith:WXL7VHSX

pith:2017:WXL7VHSXOQ3WGXSYQGI3F2PRAY

not attested not anchored not stored refs pending

Hyperbolic graphs: critical regularity and box dimension

Katrin Gelfert, Lorenzo J. D\'iaz, Maik Gr\"oger, Tobias J\"ager

arxiv:1702.06416 v1 · 2017-02-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXL7VHSXOQ3WGXSYQGI3F2PRAY}

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	2026-05-18T00:50:14.192681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d7fa9e577437635e588191b2e9f1062d0534a3c93304a7b16858bc0a7c4e6a

Aliases

arxiv: 1702.06416 · arxiv_version: 1702.06416v1 · doi: 10.48550/arxiv.1702.06416 · pith_short_12: WXL7VHSXOQ3W · pith_short_16: WXL7VHSXOQ3WGXSY · pith_short_8: WXL7VHSX

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/WXL7VHSXOQ3WGXSYQGI3F2PRAY \
  | 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: b5d7fa9e577437635e588191b2e9f1062d0534a3c93304a7b16858bc0a7c4e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e84112e067be8d2e3a5ef0a41e1ece1d4643eb15c53a9cd4b311c7e183d950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-21T14:52:29Z",
    "title_canon_sha256": "150a31af221833b61d5b88f65635bf5abba7094efcf82db792fa9bf6892697d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06416",
    "kind": "arxiv",
    "version": 1
  }
}