Pith Number

pith:ENZB5FSV

pith:2021:ENZB5FSV4SNUUAGR6TUEXG72OI

not attested not anchored not stored refs pending

SpectralFly: Ramanujan Graphs as Flexible and Efficient Interconnection Networks

Jesun Firoz, Juan Escobedo, Mark Kempton, Mark Raugas, Roberto Gioiosa, Sinan Aksoy, Stephen Young, Tobias Hagge

arxiv:2104.11725 v2 · 2021-04-23 · cs.NI · cs.AR · cs.DC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENZB5FSV4SNUUAGR6TUEXG72OI}

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	2026-07-05T03:56:46.624772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23721e9655e49b4a00d1f4e84b9bfa723067336b32920d3032ecd25d9eb6e0ee

Aliases

arxiv: 2104.11725 · arxiv_version: 2104.11725v2 · doi: 10.48550/arxiv.2104.11725 · pith_short_12: ENZB5FSV4SNU · pith_short_16: ENZB5FSV4SNUUAGR · pith_short_8: ENZB5FSV

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/ENZB5FSV4SNUUAGR6TUEXG72OI \
  | 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: 23721e9655e49b4a00d1f4e84b9bfa723067336b32920d3032ecd25d9eb6e0ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8fa1237695e0ab4eb055b36c666600f244cd6fe4fcaba3f697b9bc1abb95cf",
    "cross_cats_sorted": [
      "cs.AR",
      "cs.DC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2021-04-23T17:21:55Z",
    "title_canon_sha256": "3ed454f015ff3641868049fa1de66a3dfe97f65014606df1a109dfc88ee4f55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11725",
    "kind": "arxiv",
    "version": 2
  }
}