Pith Number

pith:XD7ISN3E

pith:2013:XD7ISN3ETGMUNQ57LLAY5ZT2GE

not attested not anchored not stored refs pending

Long properly colored cycles in edge colored complete graphs

Guanghui Wang, Guizhen Liu, Tao Wang

arxiv:1301.0450 v2 · 2013-01-03 · 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{XD7ISN3ETGMUNQ57LLAY5ZT2GE}

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	2026-05-18T02:58:13.194411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fe893764999946c3bf5ac18ee67a313025df77ed9f0a4143b1b3be81e170bc

Aliases

arxiv: 1301.0450 · arxiv_version: 1301.0450v2 · doi: 10.48550/arxiv.1301.0450 · pith_short_12: XD7ISN3ETGMU · pith_short_16: XD7ISN3ETGMUNQ57 · pith_short_8: XD7ISN3E

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/XD7ISN3ETGMUNQ57LLAY5ZT2GE \
  | 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: b8fe893764999946c3bf5ac18ee67a313025df77ed9f0a4143b1b3be81e170bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f0ecef825096636d06aa0f005855252c93b5baf04c0509ea6e4e97609f2d3e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-03T13:23:41Z",
    "title_canon_sha256": "2b4d9ba613c9f5ad8f640e920895419896d24bf22406402439ddfc6a041505ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0450",
    "kind": "arxiv",
    "version": 2
  }
}