Pith Number

pith:VBYM7S62

pith:2016:VBYM7S62VE3ZM27I4R465V3EDA

not attested not anchored not stored refs pending

Combinatorial characterization of upward planarity

Xuexing Lu, Yu Ye

arxiv:1608.07255 v6 · 2016-08-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBYM7S62VE3ZM27I4R465V3EDA}

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	2026-05-17T23:56:56.109682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a870cfcbdaa937966be8e479eed764182d2c357236e44068d99c87cde2a90129

Aliases

arxiv: 1608.07255 · arxiv_version: 1608.07255v6 · doi: 10.48550/arxiv.1608.07255 · pith_short_12: VBYM7S62VE3Z · pith_short_16: VBYM7S62VE3ZM27I · pith_short_8: VBYM7S62

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/VBYM7S62VE3ZM27I4R465V3EDA \
  | 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: a870cfcbdaa937966be8e479eed764182d2c357236e44068d99c87cde2a90129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd3a746b828da4128edb93cdb42dc9de2877282010e84f66a2500272966bdc7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-25T19:01:14Z",
    "title_canon_sha256": "c2424439686ef82d92133d0ba061c6ce498e579e20fe52d966f837c7ea7b921c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07255",
    "kind": "arxiv",
    "version": 6
  }
}