Pith Number

pith:QM27Q5K6

pith:2026:QM27Q5K6BW3SZZEEXWKQIPWODU

not attested not anchored not stored refs pending

HNSW with Accuracy Guarantees Using Graph Spanners -- A Technical Report

Gautam Das, Minghao Li, Nick Koudas, Raghav Mittal, Sanjivni Rana, Suraj Shetiya

arxiv:2607.02338 v1 · 2026-07-02 · cs.DB · cs.CL · cs.IR · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QM27Q5K6BW3SZZEEXWKQIPWODU}

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	2026-07-03T01:17:48.810544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8335f8755e0db72ce484bd95043ece1d081c0ecda9cd5567b2a89f6be2400cee

Aliases

arxiv: 2607.02338 · arxiv_version: 2607.02338v1 · doi: 10.48550/arxiv.2607.02338 · pith_short_12: QM27Q5K6BW3S · pith_short_16: QM27Q5K6BW3SZZEE · pith_short_8: QM27Q5K6

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/QM27Q5K6BW3SZZEEXWKQIPWODU \
  | 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: 8335f8755e0db72ce484bd95043ece1d081c0ecda9cd5567b2a89f6be2400cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7fc26828e68d5acc2471ce2a7117dbcea5cf1e0875b8d2dc0fbb2f5e2754ac",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.IR",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2026-07-02T15:44:43Z",
    "title_canon_sha256": "372db7c2b4d6e9c0f971f5d3110309e2eda6ac2c89bfd27f2235d198bdfd28bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02338",
    "kind": "arxiv",
    "version": 1
  }
}