Pith Number

pith:773XEVVQ

pith:2015:773XEVVQXSUJVKYIPD6BWD657N

not attested not anchored not stored refs pending

On the Impossibility of Learning the Missing Mass

Elchanan Mossel, Mesrob I. Ohannessian

arxiv:1503.03613 v1 · 2015-03-12 · stat.ML · cs.IT · cs.LG · math.IT · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{773XEVVQXSUJVKYIPD6BWD657N}

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	2026-05-18T02:24:27.886978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff77256b0bca89aab0878fc1b0fddfb4af3586c73ae6791f060dedfeb414cd9

Aliases

arxiv: 1503.03613 · arxiv_version: 1503.03613v1 · doi: 10.48550/arxiv.1503.03613 · pith_short_12: 773XEVVQXSUJ · pith_short_16: 773XEVVQXSUJVKYI · pith_short_8: 773XEVVQ

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/773XEVVQXSUJVKYIPD6BWD657N \
  | 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: fff77256b0bca89aab0878fc1b0fddfb4af3586c73ae6791f060dedfeb414cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01095bd4acf0accb2585279b3d48bc0c644f6acbd41701673008e475df542dd8",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-03-12T07:27:24Z",
    "title_canon_sha256": "f7816e7045a12891553515e88fc20809a42ef1f1fbca0b1daa3987ba352aa9fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03613",
    "kind": "arxiv",
    "version": 1
  }
}