Pith Number

pith:RYUZ6BGI

pith:2019:RYUZ6BGIPMEGEBS32XMD7ODG3I

not attested not anchored not stored refs pending

Bounds on the Length of Functional PIR and Batch codes

Eitan Yaakobi, Tuvi Etzion, Yiwei Zhang

arxiv:1901.01605 v2 · 2019-01-06 · 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{RYUZ6BGIPMEGEBS32XMD7ODG3I}

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	2026-05-17T23:48:39.606201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e299f04c87b0862065bd5d83fb866da36c3c8b2b288faa0df42818466e4119d

Aliases

arxiv: 1901.01605 · arxiv_version: 1901.01605v2 · doi: 10.48550/arxiv.1901.01605 · pith_short_12: RYUZ6BGIPMEG · pith_short_16: RYUZ6BGIPMEGEBS3 · pith_short_8: RYUZ6BGI

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/RYUZ6BGIPMEGEBS32XMD7ODG3I \
  | 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: 8e299f04c87b0862065bd5d83fb866da36c3c8b2b288faa0df42818466e4119d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2111c9b8823d0e3b4090d7ad23c2197b8ee104561663b3ed485a1e2edc1f4ef",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-06T20:51:26Z",
    "title_canon_sha256": "161a4d0715f21d1b329cd07525b9f272129df5e9183a18aa79dbf5e5308a8662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01605",
    "kind": "arxiv",
    "version": 2
  }
}