Pith Number

pith:HQRHU5VE

pith:2012:HQRHU5VEZMTUQP3BNYJ4NC5EF5

not attested not anchored not stored refs pending

Extending Partial Representations of Proper and Unit Interval Graphs

Ignaz Rutter, Jan Kratochv\'il, Maria Saumell, Pavel Klav\'ik, Tom\'a\v{s} Vysko\v{c}il, Toshiki Saitoh, Yota Otachi

arxiv:1207.6960 v2 · 2012-07-30 · 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{HQRHU5VEZMTUQP3BNYJ4NC5EF5}

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	2026-05-18T02:44:32.576246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c227a76a4cb27483f616e13c68ba42f601602401afc6b82c333769bf48d7f05

Aliases

arxiv: 1207.6960 · arxiv_version: 1207.6960v2 · doi: 10.48550/arxiv.1207.6960 · pith_short_12: HQRHU5VEZMTU · pith_short_16: HQRHU5VEZMTUQP3B · pith_short_8: HQRHU5VE

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/HQRHU5VEZMTUQP3BNYJ4NC5EF5 \
  | 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: 3c227a76a4cb27483f616e13c68ba42f601602401afc6b82c333769bf48d7f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98bf92299ecb228c89b44bc7b4dfbff4302d412a85adae067345e405f6ac8479",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-30T15:15:39Z",
    "title_canon_sha256": "f75d7cbd865a8279403ee2be2090cc0288f63805cccf89c59678ee95d5f2f463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6960",
    "kind": "arxiv",
    "version": 2
  }
}