Pith Number

pith:ND53BFLV

pith:2018:ND53BFLV3N7B4WOO7WIJL6OUAD

not attested not anchored not stored refs pending

Quantifying the sparseness of simple geodesics on hyperbolic surfaces

Hugo Parlier, Peter Buser

arxiv:1806.00998 v1 · 2018-06-04 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ND53BFLV3N7B4WOO7WIJL6OUAD}

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	2026-05-18T00:14:17.770562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68fbb09575db7e1e59cefd9095f9d400e7838017b6a69a304c0c05fb1e12c008

Aliases

arxiv: 1806.00998 · arxiv_version: 1806.00998v1 · doi: 10.48550/arxiv.1806.00998 · pith_short_12: ND53BFLV3N7B · pith_short_16: ND53BFLV3N7B4WOO · pith_short_8: ND53BFLV

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/ND53BFLV3N7B4WOO7WIJL6OUAD \
  | 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: 68fbb09575db7e1e59cefd9095f9d400e7838017b6a69a304c0c05fb1e12c008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb00771b56bef99b8366b95f2c81d2da13c1fffb8081e0888dc63d982242588",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-04T08:03:54Z",
    "title_canon_sha256": "14ac7952e0d6bf595df2aeb37cafa34607dc2daa609b24072cfaf10eacc0a72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00998",
    "kind": "arxiv",
    "version": 1
  }
}