Pith Number

pith:J4AM4JZD

pith:2017:J4AM4JZDVTFDNFIORQLSSE57HC

not attested not anchored not stored refs pending

Rank One Orbit Closures in H^{hyp}(g-1,g-1)

Paul Apisa

arxiv:1710.05507 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{J4AM4JZDVTFDNFIORQLSSE57HC}

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	2026-05-18T00:32:49.108648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f00ce2723acca36950e8c172913bf3892edbc167f9a8086f7ce8fa25b2e0b20

Aliases

arxiv: 1710.05507 · arxiv_version: 1710.05507v1 · doi: 10.48550/arxiv.1710.05507 · pith_short_12: J4AM4JZDVTFD · pith_short_16: J4AM4JZDVTFDNFIO · pith_short_8: J4AM4JZD

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/J4AM4JZDVTFDNFIORQLSSE57HC \
  | 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: 4f00ce2723acca36950e8c172913bf3892edbc167f9a8086f7ce8fa25b2e0b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b534c14c83d92f8b6fe72f707ea7ce85cd9df9241061895af331ac202dd6353",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-16T04:45:06Z",
    "title_canon_sha256": "c3aff5cf2ad724a8f3745a09f36f69e7fa1ff2607f8374a5d93febf4abfd9f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05507",
    "kind": "arxiv",
    "version": 1
  }
}