Pith Number

pith:TCHQOVQ4

pith:2011:TCHQOVQ4X6VVYO2KRIFYNU3LFZ

not attested not anchored not stored refs pending

Rainbow connection number of dense graphs

Ingo Schiermeyer, Mengmeng Liu, Xueliang Li

arxiv:1110.5772 v1 · 2011-10-26 · 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{TCHQOVQ4X6VVYO2KRIFYNU3LFZ}

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	2026-05-18T04:10:11.313897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988f07561cbfab5c3b4a8a0b86d36b2e73a569628666cc34976dab17d739204e

Aliases

arxiv: 1110.5772 · arxiv_version: 1110.5772v1 · doi: 10.48550/arxiv.1110.5772 · pith_short_12: TCHQOVQ4X6VV · pith_short_16: TCHQOVQ4X6VVYO2K · pith_short_8: TCHQOVQ4

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/TCHQOVQ4X6VVYO2KRIFYNU3LFZ \
  | 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: 988f07561cbfab5c3b4a8a0b86d36b2e73a569628666cc34976dab17d739204e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbf3a12dfcfb40422921c65f942d39c32566c2b373c64af9ac137c79981959d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-26T11:56:27Z",
    "title_canon_sha256": "f266f22347545a2e2d99818dde3a99bbf588873dc5ebb2e66760118c4e26d9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5772",
    "kind": "arxiv",
    "version": 1
  }
}