Pith Number

pith:QLAZ2GL5

pith:2023:QLAZ2GL5B4NFNPSE6KEFDB7RWA

not attested not anchored not stored refs pending

On the interval coloring impropriety of graphs

Eun-Kyung Cho, Leilani Pai, MacKenzie Carr, Nicholas Crawford, Rebecca Robinson, Vesna Ir\v{s}i\v{c}

arxiv:2312.14881 v2 · 2023-12-22 · 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{QLAZ2GL5B4NFNPSE6KEFDB7RWA}

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	2026-07-05T08:25:30.781028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c19d197d0f1a56be44f2885187f1b000c26227ce3214fe758e9068342e41e0

Aliases

arxiv: 2312.14881 · arxiv_version: 2312.14881v2 · doi: 10.48550/arxiv.2312.14881 · pith_short_12: QLAZ2GL5B4NF · pith_short_16: QLAZ2GL5B4NFNPSE · pith_short_8: QLAZ2GL5

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/QLAZ2GL5B4NFNPSE6KEFDB7RWA \
  | 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: 82c19d197d0f1a56be44f2885187f1b000c26227ce3214fe758e9068342e41e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb0a36f7eee0ecdfb8c0c0eb6c5372d39909f61aa156cde35508bf760e43ca0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-22T18:01:01Z",
    "title_canon_sha256": "dc464499cfece93e6846f5c1f219050108a8cf05f4a9314d09d53579410d11e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14881",
    "kind": "arxiv",
    "version": 2
  }
}