Pith Number

pith:ZLVN53BR

pith:2013:ZLVN53BR3ZZEA2YT7JMWBXPTNF

not attested not anchored not stored refs pending

The Structure Theorem for The cut locus of a Certain Class of Cylinders of Revolution II

Pakkinee Chitsakul

arxiv:1312.7382 v1 · 2013-12-28 · 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{ZLVN53BR3ZZEA2YT7JMWBXPTNF}

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	2026-05-18T03:03:43.651112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caeadeec31de72406b13fa5960ddf36952512da2636fa4db0dab7af6237e1a5c

Aliases

arxiv: 1312.7382 · arxiv_version: 1312.7382v1 · doi: 10.48550/arxiv.1312.7382 · pith_short_12: ZLVN53BR3ZZE · pith_short_16: ZLVN53BR3ZZEA2YT · pith_short_8: ZLVN53BR

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/ZLVN53BR3ZZEA2YT7JMWBXPTNF \
  | 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: caeadeec31de72406b13fa5960ddf36952512da2636fa4db0dab7af6237e1a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa81478f791716b3c9c62507a35fc336d06e5238584238ea5643acb308053ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-28T02:10:05Z",
    "title_canon_sha256": "636b09be10dcc4a0ca2e11ce2be6c65644f85167c16adfd163116140b7f1872b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7382",
    "kind": "arxiv",
    "version": 1
  }
}