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Pith Number

pith:DUM5JBDB

pith:2019:DUM5JBDB6OXHF6FT62JHC7PUSU
not attested not anchored not stored refs pending

Simultaneous Representation of Proper and Unit Interval Graphs

Darren Strash, Ignaz Rutter, Michael Vollmer, Peter Stumpf

arxiv:1908.08882 v1 · 2019-08-23 · cs.DS · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DUM5JBDB6OXHF6FT62JHC7PUSU}

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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 2026-07-04T23:59:24.854562Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1d19d48461f3ae72f8b3f692717df4950565c3f520c0d6f3477d42f675c9dfd5

Aliases

arxiv: 1908.08882 · arxiv_version: 1908.08882v1 · doi: 10.48550/arxiv.1908.08882 · pith_short_12: DUM5JBDB6OXH · pith_short_16: DUM5JBDB6OXHF6FT · pith_short_8: DUM5JBDB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DUM5JBDB6OXHF6FT62JHC7PUSU \
  | 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: 1d19d48461f3ae72f8b3f692717df4950565c3f520c0d6f3477d42f675c9dfd5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2196758b9e1f8506ed4fe8e8cc81ff7785b7bee33c73ec5b6c23af6af8c5383",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-23T15:52:30Z",
    "title_canon_sha256": "3b2bc83d3a612e81f85533ce8c2021973d096436aa1710cf1af2c39c3ace0f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08882",
    "kind": "arxiv",
    "version": 1
  }
}