Pith Number

pith:BRJJOQTZ

pith:2014:BRJJOQTZNUL76STCTWEA6XERBM

not attested not anchored not stored refs pending

$(1, k)$-coloring of graphs with girth at least $5$ on a surface

Geewon Suh, Hojin Choi, Ilkyoo Choi, Jisu Jeong

arxiv:1412.0344 v1 · 2014-12-01 · 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{BRJJOQTZNUL76STCTWEA6XERBM}

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	2026-05-18T02:32:28.042132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c529742796d17ff4a629d880f5c910b0b540a558333c30c8426aa9a33ae264c

Aliases

arxiv: 1412.0344 · arxiv_version: 1412.0344v1 · doi: 10.48550/arxiv.1412.0344 · pith_short_12: BRJJOQTZNUL7 · pith_short_16: BRJJOQTZNUL76STC · pith_short_8: BRJJOQTZ

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/BRJJOQTZNUL76STCTWEA6XERBM \
  | 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: 0c529742796d17ff4a629d880f5c910b0b540a558333c30c8426aa9a33ae264c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529c0f1e7cc1dd7cb6029ba48fe3c81088f18441d0ea1878131bb2b4ff411ca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-01T04:29:37Z",
    "title_canon_sha256": "c627f08b7594cb6a976f0b469d288c883276746e422ba05be1c62fbf8bbb0e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0344",
    "kind": "arxiv",
    "version": 1
  }
}