Pith Number

pith:57GMFY4L

pith:2020:57GMFY4LCLZDB2D3CCPXMSSBKH

not attested not anchored not stored refs pending

Cut Sparsification of the Clique Beyond the Ramanujan Bound: A Separation of Cut Versus Spectral Sparsification

Antares Chen, Jonathan Shi, Luca Trevisan

arxiv:2008.05648 v3 · 2020-08-13 · cs.DS · cs.DM · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57GMFY4LCLZDB2D3CCPXMSSBKH}

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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.

Cited by

1 paper in Pith

Weak Poincar\'e Inequalities via Approximate Stochastic Localization: Application to Sampling the Sherrington-Kirkpatrick Model

Receipt and verification

First computed	2026-07-05T03:27:26.297311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efccc2e38b12f230e87b109f764a4151dfd50b4abf3ea21524dc059ae7e2bea9

Aliases

arxiv: 2008.05648 · arxiv_version: 2008.05648v3 · doi: 10.48550/arxiv.2008.05648 · pith_short_12: 57GMFY4LCLZD · pith_short_16: 57GMFY4LCLZDB2D3 · pith_short_8: 57GMFY4L

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/57GMFY4LCLZDB2D3CCPXMSSBKH \
  | 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: efccc2e38b12f230e87b109f764a4151dfd50b4abf3ea21524dc059ae7e2bea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345499cd7c2615929bdeb276f5cd56a644586284ce3c752981bca58af9926c5f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-08-13T02:18:34Z",
    "title_canon_sha256": "a16ea1c54c993d81435535d08f112a85c5bb2095624059ae5436c299a104a828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.05648",
    "kind": "arxiv",
    "version": 3
  }
}