Pith Number

pith:JJCWFT3G

pith:2022:JJCWFT3GPT2XPV3MIFL6NXHLDZ

not attested not anchored not stored refs pending

Stronger 3-SUM Lower Bounds for Approximate Distance Oracles via Additive Combinatorics

Amir Abboud, Karl Bringmann, Nick Fischer

arxiv:2211.07058 v2 · 2022-11-14 · 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{JJCWFT3GPT2XPV3MIFL6NXHLDZ}

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	2026-07-05T07:03:19.350138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4562cf667cf577d76c4157e6dceb1e48a504035d8d7dd302efb773f2490c3b

Aliases

arxiv: 2211.07058 · arxiv_version: 2211.07058v2 · doi: 10.48550/arxiv.2211.07058 · pith_short_12: JJCWFT3GPT2X · pith_short_16: JJCWFT3GPT2XPV3M · pith_short_8: JJCWFT3G

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/JJCWFT3GPT2XPV3MIFL6NXHLDZ \
  | 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: 4a4562cf667cf577d76c4157e6dceb1e48a504035d8d7dd302efb773f2490c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da4915cb77dcc0f70badef7e920da60e9cae88122d57fcaaa6b5b4e13c57e57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-11-14T00:42:20Z",
    "title_canon_sha256": "89e7986643242a4b0af4e323013bdf65d83926d214e417c1462fa3d8bd4fbc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07058",
    "kind": "arxiv",
    "version": 2
  }
}