Pith Number

pith:W6ECNLJA

pith:2019:W6ECNLJALPMOKCEURFB4L5CNWC

not attested not anchored not stored refs pending

Hardness Amplification of Optimization Problems

Elazar Goldenberg, Karthik C. S.

arxiv:1908.10248 v1 · 2019-08-27 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6ECNLJALPMOKCEURFB4L5CNWC}

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	2026-07-04T23:59:55.581534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78826ad205bd8e508948943c5f44db0b14a7ea9140bd816a7e0366771e5e483

Aliases

arxiv: 1908.10248 · arxiv_version: 1908.10248v1 · doi: 10.48550/arxiv.1908.10248 · pith_short_12: W6ECNLJALPMO · pith_short_16: W6ECNLJALPMOKCEU · pith_short_8: W6ECNLJA

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/W6ECNLJALPMOKCEURFB4L5CNWC \
  | 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: b78826ad205bd8e508948943c5f44db0b14a7ea9140bd816a7e0366771e5e483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7173a590d5e94b0a4a3ee81e4d820f390ef2b7ecd9f53975d63b91a36fc79e55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-08-27T14:56:12Z",
    "title_canon_sha256": "b0f81f5f7f5322e1d16db4dbbde9762a15f0a5e1c18169e66f798efc63c79d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10248",
    "kind": "arxiv",
    "version": 1
  }
}