Pith Number

pith:GQO2OOV2

pith:2025:GQO2OOV2FQUURZ6BYWAJHWDJDE

not attested not anchored not stored refs pending

Fast and Extensible Hybrid Embeddings with Micros

Sean Bocirnea, William J. Bowman

arxiv:2509.07551 v1 · 2025-09-09 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQO2OOV2FQUURZ6BYWAJHWDJDE}

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	2026-07-05T12:07:23.732008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341da73aba2c2948e7c1c58093d8691928e200fcc1299d02ac407b693f7be9fe

Aliases

arxiv: 2509.07551 · arxiv_version: 2509.07551v1 · doi: 10.48550/arxiv.2509.07551 · pith_short_12: GQO2OOV2FQUU · pith_short_16: GQO2OOV2FQUURZ6B · pith_short_8: GQO2OOV2

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/GQO2OOV2FQUURZ6BYWAJHWDJDE \
  | 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: 341da73aba2c2948e7c1c58093d8691928e200fcc1299d02ac407b693f7be9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09d157b091c9637a167b53e18aaf9a24a20840764fba5dcb0843e051b4265b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2025-09-09T09:41:20Z",
    "title_canon_sha256": "38bce9489d1c217a4de69f3841a82652fb96abdd8e5e61b843a7722cf9cc9319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07551",
    "kind": "arxiv",
    "version": 1
  }
}