Pith Number

pith:QZ2KT3FQ

pith:2017:QZ2KT3FQIWXZULGXS2H5PCTABW

not attested not anchored not stored refs pending

On the Hardness of Deriving the Arithmetic Mean Component Competitive Ratio

Toshiya Itoh, Yoshinori Takei

arxiv:1712.00214 v2 · 2017-12-01 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZ2KT3FQIWXZULGXS2H5PCTABW}

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	2026-05-18T00:18:45.998221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8674a9ecb045af9a2cd7968fd78a600da9699a6b4a387561c09c30bafd946bd1

Aliases

arxiv: 1712.00214 · arxiv_version: 1712.00214v2 · doi: 10.48550/arxiv.1712.00214 · pith_short_12: QZ2KT3FQIWXZ · pith_short_16: QZ2KT3FQIWXZULGX · pith_short_8: QZ2KT3FQ

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/QZ2KT3FQIWXZULGXS2H5PCTABW \
  | 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: 8674a9ecb045af9a2cd7968fd78a600da9699a6b4a387561c09c30bafd946bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4147b506140ac528b5271bf09a464872c031c70809d23e190757f12021c4b92b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-12-01T07:22:47Z",
    "title_canon_sha256": "bfaa6c8eb22db78cb3f24bca9e1e1efb2bab6b08bbcbbe1ab3be6a6c63448b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00214",
    "kind": "arxiv",
    "version": 2
  }
}