Pith Number

pith:WQYAPIA2

pith:2017:WQYAPIA2BDAUCDNE4SPHNMNQVX

not attested not anchored not stored refs pending

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

Akiko Shima, Teruo Nagase

arxiv:1704.01232 v3 · 2017-04-05 · 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{WQYAPIA2BDAUCDNE4SPHNMNQVX}

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	2026-05-18T00:14:29.012492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43007a01a08c1410da4e49e76b1b0adfa7d31ebe40060bc525c7e20c547ecee

Aliases

arxiv: 1704.01232 · arxiv_version: 1704.01232v3 · doi: 10.48550/arxiv.1704.01232 · pith_short_12: WQYAPIA2BDAU · pith_short_16: WQYAPIA2BDAUCDNE · pith_short_8: WQYAPIA2

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/WQYAPIA2BDAUCDNE4SPHNMNQVX \
  | 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: b43007a01a08c1410da4e49e76b1b0adfa7d31ebe40060bc525c7e20c547ecee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a747a821a00492b7495dd76000dd29237c1f9256279b65a072bffad7dfe521e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-05T01:05:35Z",
    "title_canon_sha256": "ec1ac9a0d824550771e5b9924d919bdcd401fb55eec3e5d1b26d8f9a01d731e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01232",
    "kind": "arxiv",
    "version": 3
  }
}