Pith Number

pith:IGXWUDFF

pith:2018:IGXWUDFFRNW44N7TIRQVJ4GSV5

not attested not anchored not stored refs pending

The Sketching Complexity of Graph and Hypergraph Counting

Eric Price, John Kallaugher, Michael Kapralov

arxiv:1808.04995 v1 · 2018-08-15 · 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{IGXWUDFFRNW44N7TIRQVJ4GSV5}

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	2026-05-18T00:08:01.930577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41af6a0ca58b6dce37f3446154f0d2af420ae13fb5749df9a103da38ccb5ef65

Aliases

arxiv: 1808.04995 · arxiv_version: 1808.04995v1 · doi: 10.48550/arxiv.1808.04995 · pith_short_12: IGXWUDFFRNW4 · pith_short_16: IGXWUDFFRNW44N7T · pith_short_8: IGXWUDFF

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/IGXWUDFFRNW44N7TIRQVJ4GSV5 \
  | 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: 41af6a0ca58b6dce37f3446154f0d2af420ae13fb5749df9a103da38ccb5ef65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8c99698a49e0c5fc9fff553b292e178f60a222fd9df521d776bf1aeded4e8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-15T07:58:32Z",
    "title_canon_sha256": "327d16ca05f273f372e59d08cee203a0a48d1f18b028cc0d2ae292affcaaa5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04995",
    "kind": "arxiv",
    "version": 1
  }
}