Pith Number

pith:EL6RNSIF

pith:2026:EL6RNSIFM3BECRVVEHRGEEUC7L

not attested not anchored not stored refs pending

Hilbert Operator for Progressive Encoding (HOPE): A Mathematical Framework for Deconstructing Learned Representations in Deep Networks

Hossein Mobahi, Peter L. Bartlett

arxiv:2607.21366 v1 · 2026-07-23 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL6RNSIFM3BECRVVEHRGEEUC7L}

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.

Cited by

1 paper in Pith

When Compression Scores Cannot Decide: Information Boundaries for Group-Robust LLM Pruning

Receipt and verification

First computed	2026-07-24T01:24:28.694478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22fd16c90566c24146b521e2621282fad2e4ea7313312625a2fac2c516a79401

Aliases

arxiv: 2607.21366 · arxiv_version: 2607.21366v1 · doi: 10.48550/arxiv.2607.21366 · pith_short_12: EL6RNSIFM3BE · pith_short_16: EL6RNSIFM3BECRVV · pith_short_8: EL6RNSIF

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/EL6RNSIFM3BECRVVEHRGEEUC7L \
  | 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: 22fd16c90566c24146b521e2621282fad2e4ea7313312625a2fac2c516a79401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c75ff2764fccb66ee6757e9c40e5e06da8683cdfff3b2691af0db29d26f43f",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-23T14:31:16Z",
    "title_canon_sha256": "fd7e8b7a30e621a5cd6cbe99919c964ef203df13f1b09f51df6c9c3778efc3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21366",
    "kind": "arxiv",
    "version": 1
  }
}