Pith Number

pith:RMHPL45P

pith:2014:RMHPL45PTZ7YWVQZZHVDF5E5JR

not attested not anchored not stored refs pending

The distribution of gaps for saddle connections on the octagon

Caglar Uyanik, Grace Work

arxiv:1409.0830 v2 · 2014-09-02 · math.GT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMHPL45PTZ7YWVQZZHVDF5E5JR}

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	2026-05-17T23:40:37.052369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0ef5f3af9e7f8b5619c9ea32f49d4c6e7a628723038594d666638ecce5b838

Aliases

arxiv: 1409.0830 · arxiv_version: 1409.0830v2 · doi: 10.48550/arxiv.1409.0830 · pith_short_12: RMHPL45PTZ7Y · pith_short_16: RMHPL45PTZ7YWVQZ · pith_short_8: RMHPL45P

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/RMHPL45PTZ7YWVQZZHVDF5E5JR \
  | 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: 8b0ef5f3af9e7f8b5619c9ea32f49d4c6e7a628723038594d666638ecce5b838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d2f18cfeca083e1d499ecff0399a7e0ca816837a45011ae1eb816fc58573ed",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-02T19:10:29Z",
    "title_canon_sha256": "7fd5ed523d3fb1074175e748626ba4e796b22108e6489b887b0318f623f1ae46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0830",
    "kind": "arxiv",
    "version": 2
  }
}