Pith Number

pith:DZE2MU2R

pith:2026:DZE2MU2R4D67P3GSDLXI3FGKUR

not attested not anchored not stored refs pending

Ramanujan Graph Rewiring with Non Negative Resistance Curvature

Hugo Attali, Rachid El Jouhri

arxiv:2606.21333 v1 · 2026-06-19 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZE2MU2R4D67P3GSDLXI3FGKUR}

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	2026-06-23T01:12:37.494460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e49a65351e0fdf7ecd21aee8d94caa44c2d8b4bc9e68e3d08a47366d831cfc6

Aliases

arxiv: 2606.21333 · arxiv_version: 2606.21333v1 · doi: 10.48550/arxiv.2606.21333 · pith_short_12: DZE2MU2R4D67 · pith_short_16: DZE2MU2R4D67P3GS · pith_short_8: DZE2MU2R

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/DZE2MU2R4D67P3GSDLXI3FGKUR \
  | 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: 1e49a65351e0fdf7ecd21aee8d94caa44c2d8b4bc9e68e3d08a47366d831cfc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f12b75c9b4b985f6f59dd2b6eedf97fe612f3149002de5436db9a7e9b2c6e3c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T11:26:42Z",
    "title_canon_sha256": "8944e1f10285c872b62e92b7b7e0c3da642a4f2bccb9a265aa6396f64acfc91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21333",
    "kind": "arxiv",
    "version": 1
  }
}