Pith Number

pith:R7SA3AUZ

pith:2015:R7SA3AUZMHZUEBMGWSVPGUSKBS

not attested not anchored not stored refs pending

New bounds for the max-$k$-cut and chromatic number of a graph

Edwin R. van Dam, Renata Sotirov

arxiv:1503.06595 v2 · 2015-03-23 · math.OC · 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{R7SA3AUZMHZUEBMGWSVPGUSKBS}

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	2026-05-18T01:26:57.855124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe40d829961f3420586b4aaf3524a0c83c408dfb3342a780c52d4c40d9f7184

Aliases

arxiv: 1503.06595 · arxiv_version: 1503.06595v2 · doi: 10.48550/arxiv.1503.06595 · pith_short_12: R7SA3AUZMHZU · pith_short_16: R7SA3AUZMHZUEBMG · pith_short_8: R7SA3AUZ

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/R7SA3AUZMHZUEBMGWSVPGUSKBS \
  | 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: 8fe40d829961f3420586b4aaf3524a0c83c408dfb3342a780c52d4c40d9f7184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba081bb8e3b80a6e7ea3a9d751ca47249c92981f3c7c28d8b632a1fe7087e5b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-23T10:55:02Z",
    "title_canon_sha256": "8f697df8127e434d28f1fc035f1f05f98b8d0f64a525aeb88a981994d57277e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06595",
    "kind": "arxiv",
    "version": 2
  }
}