Pith Number

pith:ZP6PJF7D

pith:2010:ZP6PJF7DDG3VHH2OOAF64UJD4T

not attested not anchored not stored refs pending

Unsolved Problems in Visibility Graphs of Points, Segments and Polygons

Partha Pratim Goswami, Subir Kumar Ghosh

arxiv:1012.5187 v4 · 2010-12-23 · cs.CG · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP6PJF7DDG3VHH2OOAF64UJD4T}

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	2026-05-18T02:23:06.494574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbfcf497e319b7539f4e700bee5123e4d3685bf281c429f83d8e4ff713c991df

Aliases

arxiv: 1012.5187 · arxiv_version: 1012.5187v4 · doi: 10.48550/arxiv.1012.5187 · pith_short_12: ZP6PJF7DDG3V · pith_short_16: ZP6PJF7DDG3VHH2O · pith_short_8: ZP6PJF7D

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/ZP6PJF7DDG3VHH2OOAF64UJD4T \
  | 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: cbfcf497e319b7539f4e700bee5123e4d3685bf281c429f83d8e4ff713c991df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e13033b4b1b02fb2092e7def99c6feab23c6b1d05df258adbf4e4ab7934dc9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-12-23T12:46:24Z",
    "title_canon_sha256": "f5bac944b6b45f7f5f9f69a85cfe43b82e55d788558ccdbf21f1009927d9b7bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5187",
    "kind": "arxiv",
    "version": 4
  }
}