Pith Number

pith:GXDNMTUA

pith:2017:GXDNMTUAY34UFGVRVU5S4JJD4Q

not attested not anchored not stored refs pending

Periodic Points in Genus Two: Holomorphic Sections over Hilbert Modular Varieties, Teichmuller Dynamics, and Billiards

Paul Apisa

arxiv:1710.05505 v1 · 2017-10-16 · math.DS · 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{GXDNMTUAY34UFGVRVU5S4JJD4Q}

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	2026-05-18T00:32:49.117339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c6d64e80c6f9429ab1ad3b2e2523e4150b3ff62f97b4a228ac49d5b5a9403d

Aliases

arxiv: 1710.05505 · arxiv_version: 1710.05505v1 · doi: 10.48550/arxiv.1710.05505 · pith_short_12: GXDNMTUAY34U · pith_short_16: GXDNMTUAY34UFGVR · pith_short_8: GXDNMTUA

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/GXDNMTUAY34UFGVRVU5S4JJD4Q \
  | 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: 35c6d64e80c6f9429ab1ad3b2e2523e4150b3ff62f97b4a228ac49d5b5a9403d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99777ec3b101ca02c5b58763e3c22f9283a2fdbcc51deea905fd03ab22a6be1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-16T04:44:16Z",
    "title_canon_sha256": "0ac584520d2d103667d442188d7a98d74839b0435895829277faa1c1e72bc462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05505",
    "kind": "arxiv",
    "version": 1
  }
}