Pith Number

pith:TLAJRXDS

pith:2026:TLAJRXDSG3FBDG5EKY5GOGE5VK

not attested not anchored not stored refs pending

Margin in Abstract Spaces

Roi Livni, Shay Moran, Tom Waknine, Yair Ashlagi

arxiv:2603.07221 v2 · 2026-03-07 · cs.LG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLAJRXDSG3FBDG5EKY5GOGE5VK}

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	2026-06-25T01:17:51.541215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac098dc7236ca119ba4563a67189daa8ebb51f2bd8f6234a238bf9ae8cedc11

Aliases

arxiv: 2603.07221 · arxiv_version: 2603.07221v2 · doi: 10.48550/arxiv.2603.07221 · pith_short_12: TLAJRXDSG3FB · pith_short_16: TLAJRXDSG3FBDG5E · pith_short_8: TLAJRXDS

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/TLAJRXDSG3FBDG5EKY5GOGE5VK \
  | 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: 9ac098dc7236ca119ba4563a67189daa8ebb51f2bd8f6234a238bf9ae8cedc11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740fbef43db83bf46e2594758b9d836075854366588e3c8033ee2c5e2c9c0cb2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-07T14:02:39Z",
    "title_canon_sha256": "6a4343f62b27704711bf55d6634c9db90e84ad20425ff8937b46b5d0c56e1d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07221",
    "kind": "arxiv",
    "version": 2
  }
}