Pith Number

pith:LWPQYHJL

pith:2009:LWPQYHJL5A6XYJHLUOTTYLXMSL

not attested not anchored not stored refs pending

Existence of leafwise intersection points in the unrestricted case

Jungsoo Kang

arxiv:0910.2369 v5 · 2009-10-13 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWPQYHJL5A6XYJHLUOTTYLXMSL}

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	2026-05-18T03:48:48.347242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9f0c1d2be83d7c24eba3a73c2eec92fbb6bac0f160d31e1545cfc658f9b596

Aliases

arxiv: 0910.2369 · arxiv_version: 0910.2369v5 · doi: 10.48550/arxiv.0910.2369 · pith_short_12: LWPQYHJL5A6X · pith_short_16: LWPQYHJL5A6XYJHL · pith_short_8: LWPQYHJL

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/LWPQYHJL5A6XYJHLUOTTYLXMSL \
  | 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: 5d9f0c1d2be83d7c24eba3a73c2eec92fbb6bac0f160d31e1545cfc658f9b596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d89f288fbfbdb1d10d23620768c2fee51991b19b2a79d5da6b1f998fe425f8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-10-13T12:10:28Z",
    "title_canon_sha256": "87dd2adb71cd88ba3fdce633aa3ce637ce6cd6267e068a381cd47df294d47625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2369",
    "kind": "arxiv",
    "version": 5
  }
}