Pith Number

pith:4PJROLXK

pith:2016:4PJROLXK42XNUKCJV6DSOSGQGK

not attested not anchored not stored refs pending

Streaming Space Complexity of Nearly All Functions of One Variable on Frequency Vectors

David P. Woodruff, Lin F. Yang, Stephen R. Chestnut, Vladimir Braverman

arxiv:1601.07473 v1 · 2016-01-27 · 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{4PJROLXK42XNUKCJV6DSOSGQGK}

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	2026-05-18T01:21:45.833360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d3172eeae6aeda2849af872748d032ad1efd6e38cd94d375c09d632fbe8d14

Aliases

arxiv: 1601.07473 · arxiv_version: 1601.07473v1 · doi: 10.48550/arxiv.1601.07473 · pith_short_12: 4PJROLXK42XN · pith_short_16: 4PJROLXK42XNUKCJ · pith_short_8: 4PJROLXK

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/4PJROLXK42XNUKCJV6DSOSGQGK \
  | 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: e3d3172eeae6aeda2849af872748d032ad1efd6e38cd94d375c09d632fbe8d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6cb195946157744b6e06777ab961ec77ddb3636628d3e0ab54ce6e52737c9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-01-27T18:04:05Z",
    "title_canon_sha256": "e663f864f8acbe248244636801c8e331f75914918fc357e38fff83d434b852e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07473",
    "kind": "arxiv",
    "version": 1
  }
}