Pith Number

pith:BTQAD2GZ

pith:2012:BTQAD2GZYIGX25EWHUIT5S3ZBA

not attested not anchored not stored refs pending

On Universal Point Sets for Planar Graphs

Jean Cardinal, Michael Hoffmann, Vincent Kusters

arxiv:1209.3594 v5 · 2012-09-17 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTQAD2GZYIGX25EWHUIT5S3ZBA}

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	2026-05-18T03:14:53.137710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce001e8d9c20d7d74963d113ecb790806a05586846ea8b7818db070486d66f8

Aliases

arxiv: 1209.3594 · arxiv_version: 1209.3594v5 · doi: 10.48550/arxiv.1209.3594 · pith_short_12: BTQAD2GZYIGX · pith_short_16: BTQAD2GZYIGX25EW · pith_short_8: BTQAD2GZ

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/BTQAD2GZYIGX25EWHUIT5S3ZBA \
  | 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: 0ce001e8d9c20d7d74963d113ecb790806a05586846ea8b7818db070486d66f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b2a0d8c0ec4a57d3af5be78b443592ca08d8959d13393e5e7a34f2167e31d08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-09-17T08:54:44Z",
    "title_canon_sha256": "035ee63c902f0d4269bd08711e7e309fee87ff945c740401b53b9f3af6104f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3594",
    "kind": "arxiv",
    "version": 5
  }
}