Pith Number

pith:EXZ4CWDH

pith:2009:EXZ4CWDHIE6EO3UCNDHWGZ6P2P

not attested not anchored not stored refs pending

Exponential decreasing rate of leaked information in universal random privacy amplification

Masahito Hayashi

arxiv:0904.0308 v5 · 2009-04-02 · cs.IT · cs.CR · math.AC · 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{EXZ4CWDHIE6EO3UCNDHWGZ6P2P}

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	2026-05-18T00:58:20.253359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f3c15867413c476e8268cf6367cfd3d9c659e4f623028fb94057b79c976b7c

Aliases

arxiv: 0904.0308 · arxiv_version: 0904.0308v5 · doi: 10.48550/arxiv.0904.0308 · pith_short_12: EXZ4CWDHIE6E · pith_short_16: EXZ4CWDHIE6EO3UC · pith_short_8: EXZ4CWDH

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/EXZ4CWDHIE6EO3UCNDHWGZ6P2P \
  | 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: 25f3c15867413c476e8268cf6367cfd3d9c659e4f623028fb94057b79c976b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a1776d01e00b7e5a5360f5d0afde159dc43959c65f47fb175337762df5c73bd",
    "cross_cats_sorted": [
      "cs.CR",
      "math.AC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-04-02T05:38:27Z",
    "title_canon_sha256": "b3c439f392418de9149a92720007e17fc70b0b16409eab42d1b18179a5d2d9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0308",
    "kind": "arxiv",
    "version": 5
  }
}