Pith Number

pith:QWPIXNST

pith:2019:QWPIXNSTTTIZ6EL2KDWP75VYK6

not attested not anchored not stored refs pending

Lower Bounds for the Happy Coloring Problems

Danil Sagunov, Ivan Bliznets

arxiv:1906.05422 v3 · 2019-06-12 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWPIXNSTTTIZ6EL2KDWP75VYK6}

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	2026-05-17T23:40:55.014424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859e8bb6539cd19f117a50ecfff6b8579786f91b4b19f1ff63f307e999767d6c

Aliases

arxiv: 1906.05422 · arxiv_version: 1906.05422v3 · doi: 10.48550/arxiv.1906.05422 · pith_short_12: QWPIXNSTTTIZ · pith_short_16: QWPIXNSTTTIZ6EL2 · pith_short_8: QWPIXNST

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/QWPIXNSTTTIZ6EL2KDWP75VYK6 \
  | 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: 859e8bb6539cd19f117a50ecfff6b8579786f91b4b19f1ff63f307e999767d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ecc9f86b0ea9235e5f58a1a0ff178d6329049a7ac80ced3ad82fc8b454e852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-06-12T23:28:07Z",
    "title_canon_sha256": "82a9ccbcf71aae72669fbde62f0dda814ae02bc2b10cb64466da6decae20eaf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05422",
    "kind": "arxiv",
    "version": 3
  }
}