Pith Number

pith:NIK2QIEW

pith:2007:NIK2QIEWBXYKCFSBZWPSZ46FX5

not attested not anchored not stored refs pending

On Interval Colorings of Complete k-partite Graphs K_{n}^{k}

Petros A. Petrosyan, Rafael R. Kamalian

arxiv:0712.3155 v3 · 2007-12-19 · 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{NIK2QIEWBXYKCFSBZWPSZ46FX5}

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	2026-05-18T04:09:04.248827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a15a820960df0a11641cd9f2cf3c5bf626ab93dcdc5a0d9749123e8478cf4ac

Aliases

arxiv: 0712.3155 · arxiv_version: 0712.3155v3 · doi: 10.48550/arxiv.0712.3155 · pith_short_12: NIK2QIEWBXYK · pith_short_16: NIK2QIEWBXYKCFSB · pith_short_8: NIK2QIEW

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/NIK2QIEWBXYKCFSBZWPSZ46FX5 \
  | 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: 6a15a820960df0a11641cd9f2cf3c5bf626ab93dcdc5a0d9749123e8478cf4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb766b7db7d4ec139c173983384947605534c2e96372b08fe8f725d425913a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-12-19T20:52:16Z",
    "title_canon_sha256": "4b31819f289b9e62283cac91f83496cb00eee9bd1125406c3a56c261a2f20c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3155",
    "kind": "arxiv",
    "version": 3
  }
}