Pith Number

pith:R5LCTU53

pith:2011:R5LCTU53TM3UMZ6RSE4YDYBOZM

not attested not anchored not stored refs pending

Rainbow connection of graphs with diameter 2

Hengzhe Li, Sujuan Liu, Xueliang Li

arxiv:1101.2765 v2 · 2011-01-14 · 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{R5LCTU53TM3UMZ6RSE4YDYBOZM}

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	2026-05-18T02:22:57.521748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5629d3bb9b374667d1913981e02ecb046cb405f1cfb76aadb81aec4b0a3170

Aliases

arxiv: 1101.2765 · arxiv_version: 1101.2765v2 · doi: 10.48550/arxiv.1101.2765 · pith_short_12: R5LCTU53TM3U · pith_short_16: R5LCTU53TM3UMZ6R · pith_short_8: R5LCTU53

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/R5LCTU53TM3UMZ6RSE4YDYBOZM \
  | 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: 8f5629d3bb9b374667d1913981e02ecb046cb405f1cfb76aadb81aec4b0a3170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e6f6d360fd6c5de856b21ebc5f9eb475066d01136e2fe819f6f040d2487c99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-14T10:51:21Z",
    "title_canon_sha256": "f3c0b6253d89834cb299981c9f1162c5bdd25174d45264c793ef0a344bd694f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2765",
    "kind": "arxiv",
    "version": 2
  }
}