Pith Number

pith:GM22EGV2

pith:2021:GM22EGV2QVPWBTTOORNPBFKQDP

not attested not anchored not stored refs pending

An Optimal Algorithm for Triangle Counting in the Stream

John Kallaugher, Rajesh Jayaram

arxiv:2105.01785 v2 · 2021-05-04 · 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{GM22EGV2QVPWBTTOORNPBFKQDP}

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.

Cited by

1 paper in Pith

Quantum Communication Lower Bounds for Search Problems via Matrix Discrepancy

Receipt and verification

First computed	2026-07-05T02:58:06.518565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3335a21aba855f60ce6e745af095501bcdff73a8fdeb0194c0f725d15c359c35

Aliases

arxiv: 2105.01785 · arxiv_version: 2105.01785v2 · doi: 10.48550/arxiv.2105.01785 · pith_short_12: GM22EGV2QVPW · pith_short_16: GM22EGV2QVPWBTTO · pith_short_8: GM22EGV2

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/GM22EGV2QVPWBTTOORNPBFKQDP \
  | 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: 3335a21aba855f60ce6e745af095501bcdff73a8fdeb0194c0f725d15c359c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f81d519d758a6a4e9a392a39c57555c397d1e5b7597fe0ac90b0000a115c395",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-05-04T22:39:38Z",
    "title_canon_sha256": "00e7dc50bbd55ef3e416ecd53f1a4c9705c5950af571bc3ea53e9002fd040f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01785",
    "kind": "arxiv",
    "version": 2
  }
}