Pith Number

pith:CAABHQW2

pith:2016:CAABHQW2YUGI4Q7RHCFYJSMTRL

not attested not anchored not stored refs pending

Lower bounds for 2-query LCCs over large alphabet

Arnab Bhattacharyya, Avishay Tal, Sivakanth Gopi

arxiv:1611.06980 v2 · 2016-11-21 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAABHQW2YUGI4Q7RHCFYJSMTRL}

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	2026-05-18T00:45:22.203916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100013c2dac50c8e43f1388b84c9938ad5f8c4cf18705144a77940ebc4c8bcf7

Aliases

arxiv: 1611.06980 · arxiv_version: 1611.06980v2 · doi: 10.48550/arxiv.1611.06980 · pith_short_12: CAABHQW2YUGI · pith_short_16: CAABHQW2YUGI4Q7R · pith_short_8: CAABHQW2

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/CAABHQW2YUGI4Q7RHCFYJSMTRL \
  | 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: 100013c2dac50c8e43f1388b84c9938ad5f8c4cf18705144a77940ebc4c8bcf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50224a27974155b9eaa1802fef96bb9121b2f686ec9961cce98fb925cf1b49f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-11-21T19:57:35Z",
    "title_canon_sha256": "d9b10b3edb08dce949245aced10faff6f19a9abfb271152edaa88d3906b1acd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06980",
    "kind": "arxiv",
    "version": 2
  }
}