Pith Number

pith:AYHYQQND

pith:2013:AYHYQQNDFAQESJ2FUELILOXP6C

not attested not anchored not stored refs pending

On r-equitable chromatic threshold of Kronecker products of complete graphs

Wei Wang, Xin Zhang, Zhidan Yan

arxiv:1310.2188 v1 · 2013-10-08 · 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{AYHYQQNDFAQESJ2FUELILOXP6C}

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	2026-05-18T03:10:59.032327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060f8841a32820492745a11685baeff0ace350a4ebbf2f22c0408348e9a2e646

Aliases

arxiv: 1310.2188 · arxiv_version: 1310.2188v1 · doi: 10.48550/arxiv.1310.2188 · pith_short_12: AYHYQQNDFAQE · pith_short_16: AYHYQQNDFAQESJ2F · pith_short_8: AYHYQQND

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/AYHYQQNDFAQESJ2FUELILOXP6C \
  | 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: 060f8841a32820492745a11685baeff0ace350a4ebbf2f22c0408348e9a2e646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17de8965882d4aa1af913259ae20f0ba112f0991cb26cb79284e3269ebc34a7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-08T15:57:06Z",
    "title_canon_sha256": "38f42e918d94d6f01d80097658fe2be546635788231128e2528f7d016e7eaf7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2188",
    "kind": "arxiv",
    "version": 1
  }
}