Pith Number

pith:NSUQ6D54

pith:2015:NSUQ6D54FFBH5CMLYEF2BP3TJC

not attested not anchored not stored refs pending

Isomorphisms in Multilayer Networks

Mason A. Porter, Mikko Kivel\"a

arxiv:1506.00508 v3 · 2015-06-01 · physics.soc-ph · cs.DM · cs.SI · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSUQ6D54FFBH5CMLYEF2BP3TJC}

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	2026-05-18T00:50:40.603255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ca90f0fbc29427e898bc10ba0bf73488cece8721dd1c311c277dfe8f06697e7

Aliases

arxiv: 1506.00508 · arxiv_version: 1506.00508v3 · doi: 10.48550/arxiv.1506.00508 · pith_short_12: NSUQ6D54FFBH · pith_short_16: NSUQ6D54FFBH5CML · pith_short_8: NSUQ6D54

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/NSUQ6D54FFBH5CMLYEF2BP3TJC \
  | 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: 6ca90f0fbc29427e898bc10ba0bf73488cece8721dd1c311c277dfe8f06697e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51556017cf8fb1e3247751a22a9ef00a88166768048a1cc840f2223f6194bdb",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-06-01T14:28:03Z",
    "title_canon_sha256": "1cb4eec988a4f714ad36ab9b15e4dbddce243bd9d99d72cfbe7c7c8f33ec389f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00508",
    "kind": "arxiv",
    "version": 3
  }
}