Pith Number

pith:H6MBV3LT

pith:2011:H6MBV3LTOMJOKRTRNYURAI5JMV

not attested not anchored not stored refs pending

Upper bounds involving parameter $\sigma_2$ for the rainbow connection

Jiuying Dong, Xueliang Li

arxiv:1101.3119 v1 · 2011-01-17 · 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{H6MBV3LTOMJOKRTRNYURAI5JMV}

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	2026-05-18T04:31:30.459459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f981aed737312e546716e291023a96578aa9c44bdc730fee8f7f9d836aed8db

Aliases

arxiv: 1101.3119 · arxiv_version: 1101.3119v1 · doi: 10.48550/arxiv.1101.3119 · pith_short_12: H6MBV3LTOMJO · pith_short_16: H6MBV3LTOMJOKRTR · pith_short_8: H6MBV3LT

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/H6MBV3LTOMJOKRTRNYURAI5JMV \
  | 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: 3f981aed737312e546716e291023a96578aa9c44bdc730fee8f7f9d836aed8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81afe66f9ca1c02052df39e1bfd99e3728e48e043f1a9425ca1a2fb9b8472d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-17T03:47:20Z",
    "title_canon_sha256": "67aaebc4b36bfe1ca769e25eacce2449e60bb0956ae43d2087e8e2938c369035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3119",
    "kind": "arxiv",
    "version": 1
  }
}