Pith Number

pith:3LC634XE

pith:2013:3LC634XEVCMFL7HKOPBY3ITC3U

not attested not anchored not stored refs pending

On Probability Estimation via Relative Frequencies and Discount

Christopher Mattern

arxiv:1311.1723 v3 · 2013-11-07 · 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{3LC634XEVCMFL7HKOPBY3ITC3U}

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	2026-05-18T02:29:45.633856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac5edf2e4a89855fcea73c38da262dd24bb39e61fd33d983081a68a7f3a82f5

Aliases

arxiv: 1311.1723 · arxiv_version: 1311.1723v3 · doi: 10.48550/arxiv.1311.1723 · pith_short_12: 3LC634XEVCMF · pith_short_16: 3LC634XEVCMFL7HK · pith_short_8: 3LC634XE

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/3LC634XEVCMFL7HKOPBY3ITC3U \
  | 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: dac5edf2e4a89855fcea73c38da262dd24bb39e61fd33d983081a68a7f3a82f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef76895b9c73fbb8e9cf6c98f4648ec38d3fa5bd28cdd2be3b526d27bac8a64c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-07T15:59:08Z",
    "title_canon_sha256": "64ba983b14d3e6e47e9f654b3c3d93ec80b2b19cdd4f986e075d7a96818fc2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1723",
    "kind": "arxiv",
    "version": 3
  }
}