Pith Number

pith:R3U5HJQD

pith:2011:R3U5HJQDYMNXSVP3A2ERHPHGMT

not attested not anchored not stored refs pending

Quantization via Empirical Divergence Maximization

Michael A. Lexa

arxiv:1111.1738 v3 · 2011-11-07 · 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{R3U5HJQDYMNXSVP3A2ERHPHGMT}

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	2026-05-18T01:59:44.108871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee9d3a603c31b7955fb068913bce664f2a28066d4b254fe85fde3c06e6a801d

Aliases

arxiv: 1111.1738 · arxiv_version: 1111.1738v3 · doi: 10.48550/arxiv.1111.1738 · pith_short_12: R3U5HJQDYMNX · pith_short_16: R3U5HJQDYMNXSVP3 · pith_short_8: R3U5HJQD

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/R3U5HJQDYMNXSVP3A2ERHPHGMT \
  | 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: 8ee9d3a603c31b7955fb068913bce664f2a28066d4b254fe85fde3c06e6a801d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85432a6f515ff39a71c881d771023bf296f5c44262934dbcdfa18dc8c7bd0744",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-07T21:03:16Z",
    "title_canon_sha256": "216192ec01aa99a927ed22a08da03801c89d183dc78c88de5e2f170f61955795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1738",
    "kind": "arxiv",
    "version": 3
  }
}