Pith Number

pith:WVW4S2ML

pith:2026:WVW4S2MLIBJFFOMHKBF6AQJDV5

not attested not anchored not stored refs pending

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers

Chenglin Fan, Hangyu Xu, Jingcheng Liu, Pan Peng, Zongrui Zou

arxiv:2607.18846 v1 · 2026-07-21 · cs.DS · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVW4S2MLIBJFFOMHKBF6AQJDV5}

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	2026-07-22T01:23:15.649151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b56dc9698b405252b987504be04123af620ed17451d91d96c4ac03203bebca14

Aliases

arxiv: 2607.18846 · arxiv_version: 2607.18846v1 · doi: 10.48550/arxiv.2607.18846 · pith_short_12: WVW4S2MLIBJF · pith_short_16: WVW4S2MLIBJFFOMH · pith_short_8: WVW4S2ML

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/WVW4S2MLIBJFFOMHKBF6AQJDV5 \
  | 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: b56dc9698b405252b987504be04123af620ed17451d91d96c4ac03203bebca14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721adf4b92ecc4a5ea9766e21585522fee48cc59383ab275bfd145fb72b3e0d9",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-21T08:35:05Z",
    "title_canon_sha256": "d285f3a637b25a182bb9a57e7377f5c8ae0d735475fb43ab0d63648a8635e92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18846",
    "kind": "arxiv",
    "version": 1
  }
}