Pith Number

pith:4NWQ5367

pith:2013:4NWQ53672HFIX77BKWSUNNWUQG

not attested not anchored not stored refs pending

A new entropy power inequality for integer-valued random variables

Emmanuel Abbe, Emre Telatar, Saeid Haghighatshoar

arxiv:1301.4185 v1 · 2013-01-17 · cs.IT · math.IT

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

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	2026-05-18T03:36:06.985113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36d0eefdfd1ca8bffe155a546b6d4818d6e7a8b6739f80bb85b7a87c3a1a94d

Aliases

arxiv: 1301.4185 · arxiv_version: 1301.4185v1 · doi: 10.48550/arxiv.1301.4185 · pith_short_12: 4NWQ53672HFI · pith_short_16: 4NWQ53672HFIX77B · pith_short_8: 4NWQ5367

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/4NWQ53672HFIX77BKWSUNNWUQG \
  | 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: e36d0eefdfd1ca8bffe155a546b6d4818d6e7a8b6739f80bb85b7a87c3a1a94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0a0d869ee40d09f0640fa3234f4346a87c884336cf42ef8eec193408b7f4f6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-17T18:49:57Z",
    "title_canon_sha256": "fe493d667b3254b4f67b0f7424fb568bfb1c54789680bb93bc25fd942b8db8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4185",
    "kind": "arxiv",
    "version": 1
  }
}