Pith Number

pith:BV4QHA3T

pith:2017:BV4QHA3TRZWNI56Z5PTXW24LX7

not attested not anchored not stored refs pending

Fine-Grained I/O Complexity via Reductions: New lower bounds, faster algorithms, and a time hierarchy

Andrea Lincoln, Erik D. Demaine, Jayson Lynch, Quanquan C. Liu, Virginia Vassilevska Williams

arxiv:1711.07960 v3 · 2017-11-21 · cs.DS · 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{BV4QHA3TRZWNI56Z5PTXW24LX7}

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	2026-05-18T00:28:51.544601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d790383738e6cd477d9ebe77b6b8bbfe9fa03926923afdd4aae1ac6191b372f

Aliases

arxiv: 1711.07960 · arxiv_version: 1711.07960v3 · doi: 10.48550/arxiv.1711.07960 · pith_short_12: BV4QHA3TRZWN · pith_short_16: BV4QHA3TRZWNI56Z · pith_short_8: BV4QHA3T

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/BV4QHA3TRZWNI56Z5PTXW24LX7 \
  | 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: 0d790383738e6cd477d9ebe77b6b8bbfe9fa03926923afdd4aae1ac6191b372f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac90392a765d52a661e9fbe598967c4d200c245161ea46ba3299f5e10208de5",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-11-21T18:37:27Z",
    "title_canon_sha256": "da506d6e956abd01c574a4bef6a865a3a7c3a43a8465dcbf301465b1aa13cb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07960",
    "kind": "arxiv",
    "version": 3
  }
}