Pith Number

pith:HZS5G3TN

pith:2012:HZS5G3TNWSIL3FN4EHMGBZ27YK

not attested not anchored not stored refs pending

How many vertex locations can be arbitrarily chosen when drawing planar graphs?

Emilio Di Giacomo, Giuseppe Liotta, Tamara Mchedlidze

arxiv:1212.0804 v1 · 2012-12-04 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZS5G3TNWSIL3FN4EHMGBZ27YK}

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	2026-05-18T03:39:15.180625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e65d36e6db490bd95bc21d860e75fc28fb3264066a62d6ece46fab703e552b2

Aliases

arxiv: 1212.0804 · arxiv_version: 1212.0804v1 · doi: 10.48550/arxiv.1212.0804 · pith_short_12: HZS5G3TNWSIL · pith_short_16: HZS5G3TNWSIL3FN4 · pith_short_8: HZS5G3TN

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/HZS5G3TNWSIL3FN4EHMGBZ27YK \
  | 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: 3e65d36e6db490bd95bc21d860e75fc28fb3264066a62d6ece46fab703e552b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce4340d0566fa5713cdf78d8136a4d439f0d148b6bbbb956d170c13b96056c1",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-12-04T17:33:45Z",
    "title_canon_sha256": "e4bc2b28e44f279208257a83357f5251667924e722afdd2541defe0d5fdc8d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0804",
    "kind": "arxiv",
    "version": 1
  }
}