Pith Number

pith:VWOR6KDE

pith:2018:VWOR6KDEQVMK6YP4AQ2AHCXOMJ

not attested not anchored not stored refs pending

Bisected vertex leveling of plane graphs: braid index, arc index and delta diagrams

Hyungkee Yoo, Seungsang Oh, Sungjong No

arxiv:1806.09719 v1 · 2018-06-25 · 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{VWOR6KDEQVMK6YP4AQ2AHCXOMJ}

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	2026-05-18T00:12:23.633461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9d1f28648558af61fc0434038aee6256614ce1c1dc0fb4d63c324abb6b6d82

Aliases

arxiv: 1806.09719 · arxiv_version: 1806.09719v1 · doi: 10.48550/arxiv.1806.09719 · pith_short_12: VWOR6KDEQVMK · pith_short_16: VWOR6KDEQVMK6YP4 · pith_short_8: VWOR6KDE

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/VWOR6KDEQVMK6YP4AQ2AHCXOMJ \
  | 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: ad9d1f28648558af61fc0434038aee6256614ce1c1dc0fb4d63c324abb6b6d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32c025a56f60bf62ac1bc080b09f24476918c94f6afa3c5bcfe4bda2de9d7a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-25T22:34:34Z",
    "title_canon_sha256": "16669ebb6e293dbeed28f5d77c4d14733c86eae5bf4282d0462b2eb93898726d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09719",
    "kind": "arxiv",
    "version": 1
  }
}