Pith Number

pith:33PUBPYK

pith:2013:33PUBPYK6VRVM2SOSQKZC5HFHL

not attested not anchored not stored refs pending

The Structure Theorem for The Cut Locus of a Certain Class of Cylinders of Revolution I

Pakkinee Chitsakul

arxiv:1311.7475 v1 · 2013-11-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33PUBPYK6VRVM2SOSQKZC5HFHL}

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	2026-05-18T03:05:56.118488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedf40bf0af563566a4e94159174e53ad94215ab39c1141d87277dd24f2c4186

Aliases

arxiv: 1311.7475 · arxiv_version: 1311.7475v1 · doi: 10.48550/arxiv.1311.7475 · pith_short_12: 33PUBPYK6VRV · pith_short_16: 33PUBPYK6VRVM2SO · pith_short_8: 33PUBPYK

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/33PUBPYK6VRVM2SOSQKZC5HFHL \
  | 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: dedf40bf0af563566a4e94159174e53ad94215ab39c1141d87277dd24f2c4186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f17469caf90b70383bd4ac4e5f62ab8e5401e7b093f7adbe32d68fa146eb20f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-29T07:24:25Z",
    "title_canon_sha256": "68ce112a5019dfe556ff487046b96ef8dafbe52503092bf46d4d9a67e5379f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7475",
    "kind": "arxiv",
    "version": 1
  }
}