Pith Number

pith:4B4KOPXZ

pith:2026:4B4KOPXZLTBJH7JXHO6GSVUL7I

not attested not anchored not stored refs pending

Improving Relative Representations with Learned Anchors and Whitened Inner Products

Fabian Mager, Hiba Nassar, Nikolaj Holst Jakobsen, Oscar Thorsted Svendsen

arxiv:2605.30596 v1 · 2026-05-28 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B4KOPXZLTBJH7JXHO6GSVUL7I}

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	2026-06-01T01:03:03.071017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e078a73ef95cc293fd373bbc69568bfa0a5bcced957dba6ba635f25dae1ca10f

Aliases

arxiv: 2605.30596 · arxiv_version: 2605.30596v1 · doi: 10.48550/arxiv.2605.30596 · pith_short_12: 4B4KOPXZLTBJ · pith_short_16: 4B4KOPXZLTBJH7JX · pith_short_8: 4B4KOPXZ

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/4B4KOPXZLTBJH7JXHO6GSVUL7I \
  | 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: e078a73ef95cc293fd373bbc69568bfa0a5bcced957dba6ba635f25dae1ca10f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce12526621580b6ac36177f047089ce68e9a4d23acad89400dcfd63fe8a2dada",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-28T21:43:53Z",
    "title_canon_sha256": "c5192620bf1253880cbaf72615fddfe8569a514d1e7d03a12e5c3467bb51bfc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30596",
    "kind": "arxiv",
    "version": 1
  }
}