Pith Number

pith:2Z3PZJEL

pith:2020:2Z3PZJELDN5OU4BWST63I2O4HE

not attested not anchored not stored refs pending

On the Hardness of Average-case k-SUM

Noah Stephens-Davidowitz, Vinod Vaikuntanathan, Zvika Brakerski

arxiv:2010.08821 v2 · 2020-10-17 · cs.CC · 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{2Z3PZJELDN5OU4BWST63I2O4HE}

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	2026-07-05T01:50:48.457952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d676fca48b1b7aea703694fdb469dc39352ed6cafc6e6e5606dcb47ff9bf3d20

Aliases

arxiv: 2010.08821 · arxiv_version: 2010.08821v2 · doi: 10.48550/arxiv.2010.08821 · pith_short_12: 2Z3PZJELDN5O · pith_short_16: 2Z3PZJELDN5OU4BW · pith_short_8: 2Z3PZJEL

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/2Z3PZJELDN5OU4BWST63I2O4HE \
  | 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: d676fca48b1b7aea703694fdb469dc39352ed6cafc6e6e5606dcb47ff9bf3d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9a336accddee11947f87c5db6a9b7087f0360336d1f3c2bd3d6c7b0ca95f34",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-10-17T16:39:41Z",
    "title_canon_sha256": "e64ddc73bef8d2937fa7c923ce0552e5dd4230e47167e1669a58d0202996cbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08821",
    "kind": "arxiv",
    "version": 2
  }
}