Pith Number

pith:NGLAQDHU

pith:2012:NGLAQDHU4FRJN6DCGX3ITDRN3X

not attested not anchored not stored refs pending

On coloring of fractional powers of graphs

Hong Liu, Stephen Hartke, \v{S}\'arka Pet\v{r}\'i\v{c}kov\'a

arxiv:1212.3898 v1 · 2012-12-17 · 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{NGLAQDHU4FRJN6DCGX3ITDRN3X}

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	2026-05-18T03:38:22.111449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6996080cf4e16296f86235f6898e2dddd60613746aec8dfcec21a94464e77d57

Aliases

arxiv: 1212.3898 · arxiv_version: 1212.3898v1 · doi: 10.48550/arxiv.1212.3898 · pith_short_12: NGLAQDHU4FRJ · pith_short_16: NGLAQDHU4FRJN6DC · pith_short_8: NGLAQDHU

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/NGLAQDHU4FRJN6DCGX3ITDRN3X \
  | 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: 6996080cf4e16296f86235f6898e2dddd60613746aec8dfcec21a94464e77d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f3f02ec3782f70ec258bbb091d8c580704e930f68a22857d1fc87d06203e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-17T06:36:15Z",
    "title_canon_sha256": "d74501e93eaf6c6c772b4ce09c4272397845697fd78c61bf93570076228dd801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3898",
    "kind": "arxiv",
    "version": 1
  }
}