Pith Number

pith:Y6PGVZK4

pith:2017:Y6PGVZK4SX7TWD2PU7TW5O7FNU

not attested not anchored not stored refs pending

Counting one sided simple closed geodesics on Fuchsian thrice punctured projective planes

Michael Magee

arxiv:1705.09377 v2 · 2017-05-25 · math.GT · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6PGVZK4SX7TWD2PU7TW5O7FNU}

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	2026-05-18T00:35:46.272240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79e6ae55c95ff3b0f4fa7e76ebbe56d1c12acdaf12ffbce002518b20cbd1f48

Aliases

arxiv: 1705.09377 · arxiv_version: 1705.09377v2 · doi: 10.48550/arxiv.1705.09377 · pith_short_12: Y6PGVZK4SX7T · pith_short_16: Y6PGVZK4SX7TWD2P · pith_short_8: Y6PGVZK4

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/Y6PGVZK4SX7TWD2PU7TW5O7FNU \
  | 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: c79e6ae55c95ff3b0f4fa7e76ebbe56d1c12acdaf12ffbce002518b20cbd1f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b6d802b942e6aefd6d94e7057d185d759749f37af0aaf2a26c0ba9b3e2b8c5",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-25T21:51:55Z",
    "title_canon_sha256": "ffdabf5007a991dbdd1495a2e3e65f683902f456e756e05a1976bfee9b53c07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09377",
    "kind": "arxiv",
    "version": 2
  }
}