Pith Number

pith:MIVHI72C

pith:2026:MIVHI72CT6BJXZS2ZLDXGSSC3A

not attested not anchored not stored refs pending

Optimal Time-Space Tradeoff for Dynamic Difference-Encoded Dictionaries

Guy E. Blelloch, Jingxun Liang, Renfei Zhou, William Kuszmaul, Yang Hu

arxiv:2608.06077 v1 · 2026-08-06 · 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{MIVHI72CT6BJXZS2ZLDXGSSC3A}

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	2026-08-07T01:40:29.649816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622a747f429f829be65acac7734a42d8358b3f6a6607d47d0516d8eb848191b0

Aliases

arxiv: 2608.06077 · arxiv_version: 2608.06077v1 · doi: 10.48550/arxiv.2608.06077 · pith_short_12: MIVHI72CT6BJ · pith_short_16: MIVHI72CT6BJXZS2 · pith_short_8: MIVHI72C

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/MIVHI72CT6BJXZS2ZLDXGSSC3A \
  | 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: 622a747f429f829be65acac7734a42d8358b3f6a6607d47d0516d8eb848191b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99328e3f60fc2254dd687056c6f530d62b3920481432f376f74a5daf5f4134a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-06T14:20:52Z",
    "title_canon_sha256": "a0b3cc7e8feb4943b5918796972adc3669651a1c2002dc8683673cb5e90c8f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06077",
    "kind": "arxiv",
    "version": 1
  }
}