Pith Number

pith:OCAI3D2T

pith:2012:OCAI3D2THO52GBHAXHG4MYHJ5Z

not attested not anchored not stored refs pending

The Minimum Number of Dependent Arcs and a Related Parameter of Generalized Mycielski Graphs

Hsin-Hao Lai, Ko-Wei Lih

arxiv:1202.6461 v1 · 2012-02-29 · 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{OCAI3D2THO52GBHAXHG4MYHJ5Z}

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	2026-05-18T04:01:12.502677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70808d8f533bbba304e0b9cdc660e9ee6a2d167b2131ef09b2a4b513371d1ef0

Aliases

arxiv: 1202.6461 · arxiv_version: 1202.6461v1 · doi: 10.48550/arxiv.1202.6461 · pith_short_12: OCAI3D2THO52 · pith_short_16: OCAI3D2THO52GBHA · pith_short_8: OCAI3D2T

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/OCAI3D2THO52GBHAXHG4MYHJ5Z \
  | 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: 70808d8f533bbba304e0b9cdc660e9ee6a2d167b2131ef09b2a4b513371d1ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3146a5b935a8f619f0a59633777414ea58a658020c121685c14229e25832791f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-29T07:00:02Z",
    "title_canon_sha256": "59530a715826acaa8a2b87764c57bbcfa0aa3e0e5ed361481f85ddb8630d3ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6461",
    "kind": "arxiv",
    "version": 1
  }
}