Pith Number

pith:4I4NTMJN

pith:2012:4I4NTMJNXBZHRJQFNFMEF6NNTW

not attested not anchored not stored refs pending

A sharp upper bound for the rainbow 2-connection number of 2-connected graphs

Sujuan Liu, Xueliang Li

arxiv:1204.0392 v2 · 2012-04-02 · 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{4I4NTMJNXBZHRJQFNFMEF6NNTW}

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	2026-05-18T03:58:12.289145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e238d9b12db87278a605695842f9ad9d91a53f575c37ee57ac9e4a3726bee91c

Aliases

arxiv: 1204.0392 · arxiv_version: 1204.0392v2 · doi: 10.48550/arxiv.1204.0392 · pith_short_12: 4I4NTMJNXBZH · pith_short_16: 4I4NTMJNXBZHRJQF · pith_short_8: 4I4NTMJN

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/4I4NTMJNXBZHRJQFNFMEF6NNTW \
  | 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: e238d9b12db87278a605695842f9ad9d91a53f575c37ee57ac9e4a3726bee91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8059c52f9493a4e561beba123ac378a94463d7502498287ff95e97eb6a1c6405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-02T12:51:34Z",
    "title_canon_sha256": "cc38d23e3ebfcebdc8589f8fa1a7bd05c51e34d8f540a46fa6bc009646ad867f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0392",
    "kind": "arxiv",
    "version": 2
  }
}