Pith Number

pith:IZIPSU2X

pith:2015:IZIPSU2X3L6EPTO6ZL5VEMCM54

not attested not anchored not stored refs pending

Communication and Randomness Lower Bounds for Secure Computation

Deepesh Data, Manoj M. Prabhakaran, Vinod M. Prabhakaran

arxiv:1512.07735 v2 · 2015-12-24 · cs.CR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZIPSU2X3L6EPTO6ZL5VEMCM54}

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	2026-05-18T00:58:34.355786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4650f95357dafc47cddecafb52304cef1912ac9bef40300e50f26818a5ce3afa

Aliases

arxiv: 1512.07735 · arxiv_version: 1512.07735v2 · doi: 10.48550/arxiv.1512.07735 · pith_short_12: IZIPSU2X3L6E · pith_short_16: IZIPSU2X3L6EPTO6 · pith_short_8: IZIPSU2X

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/IZIPSU2X3L6EPTO6ZL5VEMCM54 \
  | 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: 4650f95357dafc47cddecafb52304cef1912ac9bef40300e50f26818a5ce3afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b458751884b1037aabc37ca4375ed9a37c816b7d5438fc7bd2e25f58a81cde9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2015-12-24T07:22:02Z",
    "title_canon_sha256": "28a92c73586db28b053ba875949526774b63703c42234f0ce1fa683994904eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07735",
    "kind": "arxiv",
    "version": 2
  }
}