Pith Number

pith:VTZCEQX3

pith:2015:VTZCEQX33MHLANUTMLMFUQHE64

not attested not anchored not stored refs pending

On the uniqueness of quasihyperbolic geodesics

Hannes Luiro

arxiv:1504.01981 v1 · 2015-04-08 · 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{VTZCEQX33MHLANUTMLMFUQHE64}

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	2026-05-18T02:19:17.612339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf22242fbdb0eb0369362d85a40e4f71db0e4bdc855eda5295bab245ce36f67

Aliases

arxiv: 1504.01981 · arxiv_version: 1504.01981v1 · doi: 10.48550/arxiv.1504.01981 · pith_short_12: VTZCEQX33MHL · pith_short_16: VTZCEQX33MHLANUT · pith_short_8: VTZCEQX3

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/VTZCEQX33MHLANUTMLMFUQHE64 \
  | 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: acf22242fbdb0eb0369362d85a40e4f71db0e4bdc855eda5295bab245ce36f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cfa0923261b7a5d3cbfe9c8e2148aab431fa660dfd4aaf8ca01f9ecfcdf40ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-04-08T14:26:10Z",
    "title_canon_sha256": "10961615ac19cbdcadfb8f2a8218f5a061201280a66232e5cf0a3a0cfc7e1ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01981",
    "kind": "arxiv",
    "version": 1
  }
}