Pith Number

pith:YFZCQ5PD

pith:2019:YFZCQ5PDWXJCPSDAPB54X6EQTF

not attested not anchored not stored refs pending

A geometric property of closed geodesics on hyperbolic surfaces

Max Neumann-Coto, Peter Scott

arxiv:1905.10722 v1 · 2019-05-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFZCQ5PDWXJCPSDAPB54X6EQTF}

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	2026-05-17T23:45:05.459037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1722875e3b5d227c860787bcbf890995f8759e8df508b2104d1b9d5dba29141

Aliases

arxiv: 1905.10722 · arxiv_version: 1905.10722v1 · doi: 10.48550/arxiv.1905.10722 · pith_short_12: YFZCQ5PDWXJC · pith_short_16: YFZCQ5PDWXJCPSDA · pith_short_8: YFZCQ5PD

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/YFZCQ5PDWXJCPSDAPB54X6EQTF \
  | 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: c1722875e3b5d227c860787bcbf890995f8759e8df508b2104d1b9d5dba29141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60d2f0a2538e48f8db5e9196881a2691f63b1c42494fd6141e47223dae63ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-26T03:47:04Z",
    "title_canon_sha256": "8713b2e3337654956f3bdc33fa6d17cece74d5b44ed596165fb1e20f1bd08a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10722",
    "kind": "arxiv",
    "version": 1
  }
}