Pith Number

pith:E6T7EJ4N

pith:2011:E6T7EJ4NZOMCVBSHTY2YNFXUIT

not attested not anchored not stored refs pending

Bisection of geodesic segments in hyperbolic geometry

Gendi Wang, Matti Vuorinen

arxiv:1108.2948 v5 · 2011-08-15 · 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{E6T7EJ4NZOMCVBSHTY2YNFXUIT}

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	2026-05-18T03:18:51.965824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a7f2278dcb982a86479e358696f444d23ebd9fb3d625fe5c72c286b09e77ed

Aliases

arxiv: 1108.2948 · arxiv_version: 1108.2948v5 · doi: 10.48550/arxiv.1108.2948 · pith_short_12: E6T7EJ4NZOMC · pith_short_16: E6T7EJ4NZOMCVBSH · pith_short_8: E6T7EJ4N

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/E6T7EJ4NZOMCVBSHTY2YNFXUIT \
  | 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: 27a7f2278dcb982a86479e358696f444d23ebd9fb3d625fe5c72c286b09e77ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412cdff609090328bcfcccaf6fbe738c6a533d0da44fde0f8af06d817c743ad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-08-15T07:34:16Z",
    "title_canon_sha256": "2818646f1b58dcbb0cc3ded2f586936a0ffab01efc44c3d2797c5268324ec054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2948",
    "kind": "arxiv",
    "version": 5
  }
}