Pith Number

pith:J4MANZD7

pith:2026:J4MANZD77LZ5D4O3DW5FGTMWBV

not attested not anchored not stored refs pending

Representation Alignment Rests on Linear Structure

Guy Bresler, Kiril Bangachev, Yury Polyanskiy

arxiv:2605.28870 v1 · 2026-05-22 · 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{J4MANZD77LZ5D4O3DW5FGTMWBV}

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	2026-05-29T00:04:14.870596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1806e47ffaf3d1f1db1dba534d960d4765b08993f0e99c27ac845c0b1dc4b4

Aliases

arxiv: 2605.28870 · arxiv_version: 2605.28870v1 · doi: 10.48550/arxiv.2605.28870 · pith_short_12: J4MANZD77LZ5 · pith_short_16: J4MANZD77LZ5D4O3 · pith_short_8: J4MANZD7

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/J4MANZD77LZ5D4O3DW5FGTMWBV \
  | 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: 4f1806e47ffaf3d1f1db1dba534d960d4765b08993f0e99c27ac845c0b1dc4b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7378eba4827bd7cf6289f643e1014266d131a528624d3a1405243c4a8b09c4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T12:59:01Z",
    "title_canon_sha256": "416999a4a32b7de21d9b8e316039cf606f2466c9573ac82a45a9e352cbc5e0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28870",
    "kind": "arxiv",
    "version": 1
  }
}