Pith Number

pith:CTEMBDZP

pith:2014:CTEMBDZPQHPXAAQHW5CHWD6DQM

not attested not anchored not stored refs pending

Completion of the mixed unit interval graphs hierarchy

Alexandre Talon, Jan Kratochv\'il

arxiv:1412.0540 v4 · 2014-12-01 · 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{CTEMBDZPQHPXAAQHW5CHWD6DQM}

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	2026-05-18T00:50:23.352112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c8c08f2f81df700207b7447b0fc3830ea04d8afeccb898e5690f645105692c

Aliases

arxiv: 1412.0540 · arxiv_version: 1412.0540v4 · doi: 10.48550/arxiv.1412.0540 · pith_short_12: CTEMBDZPQHPX · pith_short_16: CTEMBDZPQHPXAAQH · pith_short_8: CTEMBDZP

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/CTEMBDZPQHPXAAQHW5CHWD6DQM \
  | 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: 14c8c08f2f81df700207b7447b0fc3830ea04d8afeccb898e5690f645105692c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42baeb6f121057681ec07525f7a4d1e49c672db7f367b9f7a3f8fedce3a6e08a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-12-01T16:53:46Z",
    "title_canon_sha256": "c47bd008a0eeb9ffa2913ab59502f46c1b2ecebf258edb8b4b633ba837331fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0540",
    "kind": "arxiv",
    "version": 4
  }
}