Pith Number

pith:T3JTBJSV

pith:2013:T3JTBJSVWKUUUBCAVJAKG3W4PM

not attested not anchored not stored refs pending

Communication Network Design: Balancing Modularity and Mixing via Optimal Graph Spectra

Benjamin Lubin, Jesse Shore, Vatche Ishakian

arxiv:1308.3174 v1 · 2013-08-14 · cs.SI · cs.GT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3JTBJSVWKUUUBCAVJAKG3W4PM}

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	2026-05-18T03:15:56.431339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed330a655b2a94a0440aa40a36edc7b3e31f2bd333cb8a645e105a14ffd6166

Aliases

arxiv: 1308.3174 · arxiv_version: 1308.3174v1 · doi: 10.48550/arxiv.1308.3174 · pith_short_12: T3JTBJSVWKUU · pith_short_16: T3JTBJSVWKUUUBCA · pith_short_8: T3JTBJSV

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/T3JTBJSVWKUUUBCAVJAKG3W4PM \
  | 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: 9ed330a655b2a94a0440aa40a36edc7b3e31f2bd333cb8a645e105a14ffd6166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8ea45f5b2af1026ebffbe4fa91845f302175106fa6d74d57d906673df27f01",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2013-08-14T16:29:28Z",
    "title_canon_sha256": "186df6235c8c718378bfb590808458f256a78f5ee63367316e59bfe502881466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3174",
    "kind": "arxiv",
    "version": 1
  }
}