Pith Number

pith:Y3SKBZ3A

pith:2016:Y3SKBZ3A5WD7ICMO6KMJDXIDA7

not attested not anchored not stored refs pending

A Hybrid Sampling Scheme for Triangle Counting

Eric Price, John Kallaugher

arxiv:1610.02066 v3 · 2016-10-06 · 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{Y3SKBZ3A5WD7ICMO6KMJDXIDA7}

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	2026-05-17T23:48:23.043287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e4a0e760ed87f4098ef29891dd0307d2f4735e1a72600cd7ce2eb22237483c

Aliases

arxiv: 1610.02066 · arxiv_version: 1610.02066v3 · doi: 10.48550/arxiv.1610.02066 · pith_short_12: Y3SKBZ3A5WD7 · pith_short_16: Y3SKBZ3A5WD7ICMO · pith_short_8: Y3SKBZ3A

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/Y3SKBZ3A5WD7ICMO6KMJDXIDA7 \
  | 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: c6e4a0e760ed87f4098ef29891dd0307d2f4735e1a72600cd7ce2eb22237483c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38505d74161ff7a299e2483f1bff8c7ad402b6c745aeecc493c6a616c9ac164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-10-06T21:00:01Z",
    "title_canon_sha256": "eb9bf810f38161ea0e0ccefe6c11517d69b0174382e239895a611d3bbaf57da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02066",
    "kind": "arxiv",
    "version": 3
  }
}