Pith Number

pith:W7J6NCYF

pith:2018:W7J6NCYFZAY5VJ7VUMHUZOCUL4

not attested not anchored not stored refs pending

Cross Subspace Alignment and the Asymptotic Capacity of $X$-Secure $T$-Private Information Retrieval

Hua Sun, Syed A. Jafar, Zhuqing Jia

arxiv:1808.07457 v2 · 2018-08-22 · 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{W7J6NCYFZAY5VJ7VUMHUZOCUL4}

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	2026-05-17T23:52:15.730079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d3e68b05c831daa7f5a30f4cb8545f191107e415b3173bade763ad3cd2b53b

Aliases

arxiv: 1808.07457 · arxiv_version: 1808.07457v2 · doi: 10.48550/arxiv.1808.07457 · pith_short_12: W7J6NCYFZAY5 · pith_short_16: W7J6NCYFZAY5VJ7V · pith_short_8: W7J6NCYF

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/W7J6NCYFZAY5VJ7VUMHUZOCUL4 \
  | 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: b7d3e68b05c831daa7f5a30f4cb8545f191107e415b3173bade763ad3cd2b53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd22c0b8dfd2cf474934cadd9d6a7db02a53fd757f0add9e47693b8c99d48273",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-22T17:47:30Z",
    "title_canon_sha256": "a8121b25af516773376f16757b9414d69e4d7735302db4e69b38f6b5858797ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07457",
    "kind": "arxiv",
    "version": 2
  }
}