Pith Number

pith:NC4PO3CE

pith:2015:NC4PO3CEJEVKW4PGJKHDPDA2M2

not attested not anchored not stored refs pending

Beyond Triangles: A Distributed Framework for Estimating 3-profiles of Large Graphs

Alexandros G. Dimakis, Ethan R. Elenberg, Karthikeyan Shanmugam, Michael Borokhovich

arxiv:1506.06671 v1 · 2015-06-22 · cs.SI · cs.DC · cs.DS · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NC4PO3CEJEVKW4PGJKHDPDA2M2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:41:44.578191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b8f76c44492aab71e64a8e378c1a66b1695864e01d99ca04a6c717bde3ef70

Aliases

arxiv: 1506.06671 · arxiv_version: 1506.06671v1 · doi: 10.48550/arxiv.1506.06671 · pith_short_12: NC4PO3CEJEVK · pith_short_16: NC4PO3CEJEVKW4PG · pith_short_8: NC4PO3CE

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/NC4PO3CEJEVKW4PGJKHDPDA2M2 \
  | 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: 68b8f76c44492aab71e64a8e378c1a66b1695864e01d99ca04a6c717bde3ef70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d181fe5552f325f1d9652ebbc0dd10d69c3a39d38bb7b03904b61c1d2c4129f5",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.DS",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2015-06-22T16:34:16Z",
    "title_canon_sha256": "d0b5012695dc701e374cf89a564c7ec195ade844991a9df66b77cbd785859be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06671",
    "kind": "arxiv",
    "version": 1
  }
}