Pith. sign in
Pith Number

pith:3IANDWJD

pith:2023:3IANDWJDIB2QO66GD347O5VR4O
not attested not anchored not stored refs pending

Algebraic Positional Encodings

Jean-Philippe Bernardy, Konstantinos Kogkalidis, Vikas Garg

arxiv:2312.16045 v3 · 2023-12-26 · cs.LG · cs.AI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3IANDWJDIB2QO66GD347O5VR4O}

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 2026-07-05T09:28:46.907731Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da00d1d9234075077bc61ef9f776b1e3b06776a331780c2f160036fb73d0cb24

Aliases

arxiv: 2312.16045 · arxiv_version: 2312.16045v3 · doi: 10.48550/arxiv.2312.16045 · pith_short_12: 3IANDWJDIB2Q · pith_short_16: 3IANDWJDIB2QO66G · pith_short_8: 3IANDWJD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3IANDWJDIB2QO66GD347O5VR4O \
  | 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: da00d1d9234075077bc61ef9f776b1e3b06776a331780c2f160036fb73d0cb24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7fbc1de0a34c8bf3e7845929e300aa4160c416f46b7c5b116df1d0498c4fa70c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-12-26T13:17:25Z",
    "title_canon_sha256": "c18e33a695ae799f66c7a00f7a6040c41eb5c1b1e974699f294b9ce1b6aeb960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16045",
    "kind": "arxiv",
    "version": 3
  }
}