Pith Number

pith:OLLLOZCT

pith:2025:OLLLOZCT7CUND5JDR4RKFQRJRG

not attested not anchored not stored refs pending

Additive Approximation Schemes for Low-Dimensional Embeddings

Ainesh Bakshi, Prashanti Anderson, Samuel B. Hopkins

arxiv:2509.09652 v1 · 2025-09-11 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLLLOZCT7CUND5JDR4RKFQRJRG}

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	2026-07-05T12:09:40.279998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d6b76453f8a8d1f5238f22a2c22989bd0da2318193ba9d59370bf6554df4f4

Aliases

arxiv: 2509.09652 · arxiv_version: 2509.09652v1 · doi: 10.48550/arxiv.2509.09652 · pith_short_12: OLLLOZCT7CUN · pith_short_16: OLLLOZCT7CUND5JD · pith_short_8: OLLLOZCT

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/OLLLOZCT7CUND5JDR4RKFQRJRG \
  | 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: 72d6b76453f8a8d1f5238f22a2c22989bd0da2318193ba9d59370bf6554df4f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354bf301c6fe96ff4985a4db13f59048ba91050b5a04fd5a9d57100e7db1eeef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-09-11T17:45:21Z",
    "title_canon_sha256": "2729a637c49c2673308f054d1735fc4ab965ce3347301512dcfecd435af3a2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09652",
    "kind": "arxiv",
    "version": 1
  }
}