Pith Number

pith:LFQGEIXC

pith:2014:LFQGEIXC7RCL3IBD4NGNWBBIYR

not attested not anchored not stored refs pending

Necessary Spectral Conditions for Coloring Hypergraphs

Franklin H. J. Kenter

arxiv:1412.3855 v1 · 2014-12-11 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFQGEIXC7RCL3IBD4NGNWBBIYR}

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	2026-05-18T02:31:29.486857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59606222e2fc44bda023e34cdb0428c477c273541e2ef8cc52ca14d3f80ddec7

Aliases

arxiv: 1412.3855 · arxiv_version: 1412.3855v1 · doi: 10.48550/arxiv.1412.3855 · pith_short_12: LFQGEIXC7RCL · pith_short_16: LFQGEIXC7RCL3IBD · pith_short_8: LFQGEIXC

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/LFQGEIXC7RCL3IBD4NGNWBBIYR \
  | 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: 59606222e2fc44bda023e34cdb0428c477c273541e2ef8cc52ca14d3f80ddec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358a5c7ca7a0c936b1f65748efa617de513395c65d1055febf2bc8ae2f5f9c6f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-11T23:00:37Z",
    "title_canon_sha256": "00c1077205fdf791c468d0cfdf207189cd1a9b413677f57b2929ef46a13dfa29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3855",
    "kind": "arxiv",
    "version": 1
  }
}