Pith Number

pith:DXK5GOTX

pith:2011:DXK5GOTXDPAI2ZEUNVHBYPPNV4

not attested not anchored not stored refs pending

k-Gap Interval Graphs

Erik Jan van Leeuwen, Fedor V. Fomin, Karol Suchan, Martin Vatshelle, Petr Golovach, Serge Gaspers, Stefan Szeider, Yngve Villanger

arxiv:1112.3244 v2 · 2011-12-14 · cs.DS · cs.CC · 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{DXK5GOTXDPAI2ZEUNVHBYPPNV4}

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	2026-05-18T04:06:09.218109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd5d33a771bc08d64946d4e1c3dedaf05fb8acc01a512d8eaf5bf594cc94f41

Aliases

arxiv: 1112.3244 · arxiv_version: 1112.3244v2 · doi: 10.48550/arxiv.1112.3244 · pith_short_12: DXK5GOTXDPAI · pith_short_16: DXK5GOTXDPAI2ZEU · pith_short_8: DXK5GOTX

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/DXK5GOTXDPAI2ZEUNVHBYPPNV4 \
  | 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: 1dd5d33a771bc08d64946d4e1c3dedaf05fb8acc01a512d8eaf5bf594cc94f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a13eca1ab6332126efd11b70f28e6d9ff1bb99f8032b5db26928d54e76c1255e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-12-14T15:06:52Z",
    "title_canon_sha256": "98aa401341ccc107f997e57247afd8b2a60e1b7ca267e062d29cccc9632b0eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3244",
    "kind": "arxiv",
    "version": 2
  }
}