Pith Number

pith:PLA7CVYO

pith:2021:PLA7CVYOW246VZYOR4TGPCACU7

not attested not anchored not stored refs pending

Compressing Multisets with Large Alphabets using Bits-Back Coding

Alireza Makhzani, Ashish Khisti, Daniel Severo, James Townsend, Karen Ullrich

arxiv:2107.09202 v2 · 2021-07-15 · cs.IT · cs.LG · eess.SP · 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{PLA7CVYOW246VZYOR4TGPCACU7}

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	2026-07-05T05:45:24.848568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac1f1570eb6b9eae70e8f26678802a7e00fad754d0cd7df365c5d6c501158ac

Aliases

arxiv: 2107.09202 · arxiv_version: 2107.09202v2 · doi: 10.48550/arxiv.2107.09202 · pith_short_12: PLA7CVYOW246 · pith_short_16: PLA7CVYOW246VZYO · pith_short_8: PLA7CVYO

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/PLA7CVYOW246VZYOR4TGPCACU7 \
  | 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: 7ac1f1570eb6b9eae70e8f26678802a7e00fad754d0cd7df365c5d6c501158ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2fef172ef2092065f1bd1136fc6b2c099a0214f3b0ff1716e2d89c72e4fecf6",
    "cross_cats_sorted": [
      "cs.LG",
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-07-15T16:54:38Z",
    "title_canon_sha256": "5b9c8b0a622a09bfdbf341281f46055e56fdf719e8647a67125b33396a0949ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09202",
    "kind": "arxiv",
    "version": 2
  }
}