Pith. sign in
Pith Number

pith:DZPNGNVL

pith:2021:DZPNGNVLOJZAL4I3UWHZ5AN5NT
not attested not anchored not stored refs pending

Macro-Average: Rare Types Are Important Too

Constantine Lignos, Jonathan May, Thamme Gowda, Weiqiu You

arxiv:2104.05700 v1 · 2021-04-12 · cs.CL · cs.AI · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DZPNGNVLOJZAL4I3UWHZ5AN5NT}

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 2026-07-05T04:57:42.165133Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1e5ed336ab727205f11ba58f9e81bd6ce8aa8d8d965077b4fc3b619b3f0b2794

Aliases

arxiv: 2104.05700 · arxiv_version: 2104.05700v1 · doi: 10.48550/arxiv.2104.05700 · pith_short_12: DZPNGNVLOJZA · pith_short_16: DZPNGNVLOJZAL4I3 · pith_short_8: DZPNGNVL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DZPNGNVLOJZAL4I3UWHZ5AN5NT \
  | 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: 1e5ed336ab727205f11ba58f9e81bd6ce8aa8d8d965077b4fc3b619b3f0b2794
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a7f3140a78e6afcf78dc59aa53172af6baec9b113d1f4808b391443d6948a0b0",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2021-04-12T17:57:42Z",
    "title_canon_sha256": "b0f80fe3180ac9026f2b1194f038298cdada79c9591b1dd5fb73de70fbdf91f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05700",
    "kind": "arxiv",
    "version": 1
  }
}