Pith Number

pith:4TXRKPSW

pith:2012:4TXRKPSWBVPW63RGNI2OCX3SWG

not attested not anchored not stored refs pending

Rainbow connection number and independence number of a graph

Jiuying Dong, Xueliang Li

arxiv:1204.4298 v3 · 2012-04-19 · 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{4TXRKPSWBVPW63RGNI2OCX3SWG}

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	2026-05-18T03:29:13.886757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ef153e560d5f6f6e266a34e15f72b1809040f62870f8bbd092118969cc872a

Aliases

arxiv: 1204.4298 · arxiv_version: 1204.4298v3 · doi: 10.48550/arxiv.1204.4298 · pith_short_12: 4TXRKPSWBVPW · pith_short_16: 4TXRKPSWBVPW63RG · pith_short_8: 4TXRKPSW

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/4TXRKPSWBVPW63RGNI2OCX3SWG \
  | 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: e4ef153e560d5f6f6e266a34e15f72b1809040f62870f8bbd092118969cc872a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd27aec60e754ff77c77a48041228adaa27673315c49a361ba59c864d2595835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-19T09:42:36Z",
    "title_canon_sha256": "c2f51515b5d2d555c4924372d0fdb6dbf8fd810758dbe1503baffab680224342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4298",
    "kind": "arxiv",
    "version": 3
  }
}