Pith Number

pith:YVFZNLDE

pith:2011:YVFZNLDEZK3INDW6CO3GWQHACG

not attested not anchored not stored refs pending

Asymmetric Quantizers Are Better at Low SNR

Amos Lapidoth, Tobias Koch

arxiv:1101.0970 v3 · 2011-01-05 · 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{YVFZNLDEZK3INDW6CO3GWQHACG}

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	2026-05-18T04:21:00.500669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54b96ac64cab6868ede13b66b40e0119c2614b76aff3f1cac39fdf84a81e5d7

Aliases

arxiv: 1101.0970 · arxiv_version: 1101.0970v3 · doi: 10.48550/arxiv.1101.0970 · pith_short_12: YVFZNLDEZK3I · pith_short_16: YVFZNLDEZK3INDW6 · pith_short_8: YVFZNLDE

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/YVFZNLDEZK3INDW6CO3GWQHACG \
  | 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: c54b96ac64cab6868ede13b66b40e0119c2614b76aff3f1cac39fdf84a81e5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be8bda3b3b318ef89f2f5908ad87ad28b4399f52996efc60b50b8f3fb279776",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-05T13:52:36Z",
    "title_canon_sha256": "93651fdc12ce115666818eebcc94a9c01060917172389f359033f68fae166213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0970",
    "kind": "arxiv",
    "version": 3
  }
}