Pith Number

pith:QQHZBIWN

pith:2016:QQHZBIWNML7S2UGY5IVKDQ72M2

not attested not anchored not stored refs pending

Deterministic Time-Space Tradeoffs for k-SUM

Andrea Lincoln, Joshua R. Wang, R. Ryan Williams, Virginia Vassilevska Williams

arxiv:1605.07285 v1 · 2016-05-24 · 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{QQHZBIWNML7S2UGY5IVKDQ72M2}

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	2026-05-18T01:13:46.457836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840f90a2cd62ff2d50d8ea2aa1c3fa66a6397c62118477c7c7427bac41be626e

Aliases

arxiv: 1605.07285 · arxiv_version: 1605.07285v1 · doi: 10.48550/arxiv.1605.07285 · pith_short_12: QQHZBIWNML7S · pith_short_16: QQHZBIWNML7S2UGY · pith_short_8: QQHZBIWN

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/QQHZBIWNML7S2UGY5IVKDQ72M2 \
  | 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: 840f90a2cd62ff2d50d8ea2aa1c3fa66a6397c62118477c7c7427bac41be626e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657cb33ee1a7a3f7eb74e13a0b9c07d9517c8baae5227fbcec3943d5da2b415c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-05-24T04:43:14Z",
    "title_canon_sha256": "c4f1f7e8d2f8bc6585dd3b1a36175d5bc0f74725d38af0876d3356b2ac011bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07285",
    "kind": "arxiv",
    "version": 1
  }
}