Pith Number

pith:TZMGVZRT

pith:2026:TZMGVZRT3MLROIQ7F2Z6UGZFW5

not attested not anchored not stored refs pending

Adversarial Robustness for Small Frequency Moments and a Weak Equivalence Theorem for Turnstile Streams

David P. Woodruff, Elena Gribelyuk, Honghao Lin, Huacheng Yu, Samson Zhou

arxiv:2607.06312 v1 · 2026-07-07 · 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{TZMGVZRT3MLROIQ7F2Z6UGZFW5}

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	2026-07-08T01:19:20.808399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e586ae633db1717221f2eb3ea1b25b77fb00ab5fa9f60d51ce6565f3958af30

Aliases

arxiv: 2607.06312 · arxiv_version: 2607.06312v1 · doi: 10.48550/arxiv.2607.06312 · pith_short_12: TZMGVZRT3MLR · pith_short_16: TZMGVZRT3MLROIQ7 · pith_short_8: TZMGVZRT

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/TZMGVZRT3MLROIQ7F2Z6UGZFW5 \
  | 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: 9e586ae633db1717221f2eb3ea1b25b77fb00ab5fa9f60d51ce6565f3958af30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc89924d650e891fba184ae577171f2b0d1c766a590b9910fa79359e2d5bfb82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-07T14:15:22Z",
    "title_canon_sha256": "bf15f131dd82c777a5630730ee089b14cded0bef45535dd2dace0b174d242aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06312",
    "kind": "arxiv",
    "version": 1
  }
}