Pith Number

pith:5NWT4U7R

pith:2011:5NWT4U7RZB2LEN4FMKZITM5OLD

not attested not anchored not stored refs pending

Two rainbow connection numbers and the parameter $\sigma_k(G)$

Jiuying Dong, Xueliang Li

arxiv:1102.5149 v2 · 2011-02-25 · 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{5NWT4U7RZB2LEN4FMKZITM5OLD}

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	2026-05-18T04:26:22.534264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6d3e53f1c874b2378562b289b3ae58e83e1a482c987fb470180dabe326329f

Aliases

arxiv: 1102.5149 · arxiv_version: 1102.5149v2 · doi: 10.48550/arxiv.1102.5149 · pith_short_12: 5NWT4U7RZB2L · pith_short_16: 5NWT4U7RZB2LEN4F · pith_short_8: 5NWT4U7R

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/5NWT4U7RZB2LEN4FMKZITM5OLD \
  | 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: eb6d3e53f1c874b2378562b289b3ae58e83e1a482c987fb470180dabe326329f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b4a88e29dc6b8a12b0c9200dbe12a7c438e8200cc38557540e63cff99a01c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-25T03:53:35Z",
    "title_canon_sha256": "d9f0a57ad3f2e55feb7f494b108482566fe174db2fcac58759007f4c800ab7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5149",
    "kind": "arxiv",
    "version": 2
  }
}