Pith Number

pith:JP3ZTEBO

pith:2010:JP3ZTEBOWLQHFOCGCCOKCPT3ZM

not attested not anchored not stored refs pending

The distribution of gaps for saddle connection directions

Jayadev S. Athreya, Jon Chaika

arxiv:1012.4298 v2 · 2010-12-20 · 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{JP3ZTEBOWLQHFOCGCCOKCPT3ZM}

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	2026-05-18T04:23:47.777976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf799902eb2e072b846109ca13e7bcb2bbf91425b6f1390a94e30e0399c0c14

Aliases

arxiv: 1012.4298 · arxiv_version: 1012.4298v2 · doi: 10.48550/arxiv.1012.4298 · pith_short_12: JP3ZTEBOWLQH · pith_short_16: JP3ZTEBOWLQHFOCG · pith_short_8: JP3ZTEBO

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/JP3ZTEBOWLQHFOCGCCOKCPT3ZM \
  | 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: 4bf799902eb2e072b846109ca13e7bcb2bbf91425b6f1390a94e30e0399c0c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f31de558b5b206185a63b2d3d190d049f037519d304c71258b387100eef9f58c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-20T12:18:35Z",
    "title_canon_sha256": "efbf0ffed040919509bcb59a55d7569747b86670e3dee850ab6dc3a1e6fdba30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4298",
    "kind": "arxiv",
    "version": 2
  }
}