Pith Number

pith:CXUCRAH5

pith:2019:CXUCRAH5X6FQJKEW6NNT7PW4AJ

not attested not anchored not stored refs pending

Properly colored $C_{4}$'s in edge-colored graphs

Chuandong Xu, Colton Magnant, Shenggui Zhang

arxiv:1905.10584 v2 · 2019-05-25 · 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{CXUCRAH5X6FQJKEW6NNT7PW4AJ}

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	2026-05-17T23:44:47.136776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e82880fdbf8b04a896f35b3fbedc0248535f3ca243a52f58feed2c97aabf45

Aliases

arxiv: 1905.10584 · arxiv_version: 1905.10584v2 · doi: 10.48550/arxiv.1905.10584 · pith_short_12: CXUCRAH5X6FQ · pith_short_16: CXUCRAH5X6FQJKEW · pith_short_8: CXUCRAH5

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/CXUCRAH5X6FQJKEW6NNT7PW4AJ \
  | 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: 15e82880fdbf8b04a896f35b3fbedc0248535f3ca243a52f58feed2c97aabf45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c91a32cff63b852d3ce874efc58b312e148b22babc6568d7512d4de7a19680b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-25T12:00:38Z",
    "title_canon_sha256": "5563c533b7e172a9aad79cde0ba732cad4fbd9076caa8904ec832a42e8290970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10584",
    "kind": "arxiv",
    "version": 2
  }
}