Pith Number

pith:MUJM6OKF

pith:2013:MUJM6OKFNCCYSVEW2WBN6QKZRS

not attested not anchored not stored refs pending

Further hardness results on the generalized connectivity of graphs

Lily Chen, Mengmeng Liu, Xueliang Li, Yaping Mao

arxiv:1304.6153 v1 · 2013-04-23 · 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{MUJM6OKFNCCYSVEW2WBN6QKZRS}

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	2026-05-18T03:27:22.270588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6512cf39456885895496d582df41598cb5b9e732f82bf8617d0cd2219a1ac607

Aliases

arxiv: 1304.6153 · arxiv_version: 1304.6153v1 · doi: 10.48550/arxiv.1304.6153 · pith_short_12: MUJM6OKFNCCY · pith_short_16: MUJM6OKFNCCYSVEW · pith_short_8: MUJM6OKF

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/MUJM6OKFNCCYSVEW2WBN6QKZRS \
  | 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: 6512cf39456885895496d582df41598cb5b9e732f82bf8617d0cd2219a1ac607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede974e4a6ad45b4d79ab04ff2db526f67c10e3d3b73250284b7bd8a5363e229",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-23T02:50:34Z",
    "title_canon_sha256": "f56d3faa326de1eab0296151f643d45c782c87172d02d8be85bde1011525cc0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6153",
    "kind": "arxiv",
    "version": 1
  }
}