Pith Number

pith:KPKWVBKX

pith:2017:KPKWVBKXHSPL5TR542BSIFGITJ

not attested not anchored not stored refs pending

On Edge-Colored Saturation Problems

Alex Schulte, Casey Tompkins, Daniel Johnston, Eric Sullivan, Florian Pfender, Heather C. Smith, Michael Ferrara, Michael Tait, Sarah Loeb

arxiv:1712.00163 v1 · 2017-12-01 · 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{KPKWVBKXHSPL5TR542BSIFGITJ}

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	2026-05-18T00:29:07.121196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d56a85573c9ebece3de6832414c89a5d35af7ac389912ee4acab5a30b1b58d

Aliases

arxiv: 1712.00163 · arxiv_version: 1712.00163v1 · doi: 10.48550/arxiv.1712.00163 · pith_short_12: KPKWVBKXHSPL · pith_short_16: KPKWVBKXHSPL5TR5 · pith_short_8: KPKWVBKX

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/KPKWVBKXHSPL5TR542BSIFGITJ \
  | 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: 53d56a85573c9ebece3de6832414c89a5d35af7ac389912ee4acab5a30b1b58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b60d863f06cfe0adb3abc62433ed37d552b6391c0525f81102917fda28bba88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-01T02:28:29Z",
    "title_canon_sha256": "c21dd79304ddf5452acaa5fcc0e5db7997cc0110a9f21ae09275fd9242c0258b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00163",
    "kind": "arxiv",
    "version": 1
  }
}