Pith Number

pith:CKSFHSHK

pith:2017:CKSFHSHK6LIFJI6J3FDV5CXYG4

not attested not anchored not stored refs pending

The structure of a minimal $n$-chart with two crossings II: Neighbourhoods of $\Gamma_1\cup\Gamma_{n-1}$

Akiko Shima, Teruo Nagase

arxiv:1709.08827 v2 · 2017-09-26 · 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{CKSFHSHK6LIFJI6J3FDV5CXYG4}

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.

Cited by

1 paper in Pith

The linear minimal 4-chart with three crossings

Receipt and verification

First computed	2026-05-18T00:13:55.198597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a453c8eaf2d054a3c9d9475e8af8372bdfd77b6156a907f3cfbff05e6fdf2a

Aliases

arxiv: 1709.08827 · arxiv_version: 1709.08827v2 · doi: 10.48550/arxiv.1709.08827 · pith_short_12: CKSFHSHK6LIF · pith_short_16: CKSFHSHK6LIFJI6J · pith_short_8: CKSFHSHK

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/CKSFHSHK6LIFJI6J3FDV5CXYG4 \
  | 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: 12a453c8eaf2d054a3c9d9475e8af8372bdfd77b6156a907f3cfbff05e6fdf2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46705da8503a365fb4ab7c0ef6553435d2f3a3c07f43f7fbd3549381de9722c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-26T04:46:28Z",
    "title_canon_sha256": "44b33606724a9f9bf3efcd19a5bd9bdbb3707d8814998d75a1507b3584ce7056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08827",
    "kind": "arxiv",
    "version": 2
  }
}