Pith Number

pith:OS7JXBWX

pith:2018:OS7JXBWX44WVTFFJECZZGLOISR

not attested not anchored not stored refs pending

Optimal Regularity of Constant Graphs in Hyperbolic Space

Ling Xiao, Xumin Jiang

arxiv:1801.08968 v1 · 2018-01-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OS7JXBWX44WVTFFJECZZGLOISR}

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	2026-05-18T00:24:59.006901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74be9b86d7e72d5994a920b3932dc89457c793457c532f66f2dec7db954f1fb3

Aliases

arxiv: 1801.08968 · arxiv_version: 1801.08968v1 · doi: 10.48550/arxiv.1801.08968 · pith_short_12: OS7JXBWX44WV · pith_short_16: OS7JXBWX44WVTFFJ · pith_short_8: OS7JXBWX

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/OS7JXBWX44WVTFFJECZZGLOISR \
  | 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: 74be9b86d7e72d5994a920b3932dc89457c793457c532f66f2dec7db954f1fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b81dd851c03324e0d3389c7cd156b13b6066beac67eb128d76eafc664b8dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-26T20:52:11Z",
    "title_canon_sha256": "57fe8932ed6ca1be0d5cacd4100e5499d4500f4a97b95d73490fe8a2a03fd3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08968",
    "kind": "arxiv",
    "version": 1
  }
}