Pith Number

pith:OT5VDXHU

pith:2010:OT5VDXHUMO23UPDYUUPSKZAYHF

not attested not anchored not stored refs pending

An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance

Amit Chakrabarti, Oded Regev

arxiv:1009.3460 v3 · 2010-09-17 · cs.CC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OT5VDXHUMO23UPDYUUPSKZAYHF}

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	2026-05-18T03:52:15.177614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74fb51dcf463b5ba3c78a51f25641839642b95dc70c53ec74ea2b56dff73fa5e

Aliases

arxiv: 1009.3460 · arxiv_version: 1009.3460v3 · doi: 10.48550/arxiv.1009.3460 · pith_short_12: OT5VDXHUMO23 · pith_short_16: OT5VDXHUMO23UPDY · pith_short_8: OT5VDXHU

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/OT5VDXHUMO23UPDYUUPSKZAYHF \
  | 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: 74fb51dcf463b5ba3c78a51f25641839642b95dc70c53ec74ea2b56dff73fa5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9187348e737fdba683b49c876325a77573732aca0d094a67aead08a0ee8ebd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-09-17T15:53:26Z",
    "title_canon_sha256": "a49d574e785421b13597fe1447186c91c718a792c7ab38cc370e2589d73919ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3460",
    "kind": "arxiv",
    "version": 3
  }
}