Pith Number

pith:OCTILN4G

pith:2011:OCTILN4G7GXRILTKOXFCX3FSDM

not attested not anchored not stored refs pending

Tail estimates for norms of sums of log-concave random vectors

Alain Pajor, Alexander E. Litvak, Nicole Tomczak-Jaegermann, Rados{\l}aw Adamczak, Rafa{\l} Lata{\l}a

arxiv:1107.4070 v1 · 2011-07-20 · math.PR · math.FA · math.MG

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	2026-05-18T02:30:08.926833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a685b786f9af142e6a75ca2becb21b29cccd2b8e4c6e27f054d856f8c06472

Aliases

arxiv: 1107.4070 · arxiv_version: 1107.4070v1 · doi: 10.48550/arxiv.1107.4070 · pith_short_12: OCTILN4G7GXR · pith_short_16: OCTILN4G7GXRILTK · pith_short_8: OCTILN4G

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/OCTILN4G7GXRILTKOXFCX3FSDM \
  | 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: 70a685b786f9af142e6a75ca2becb21b29cccd2b8e4c6e27f054d856f8c06472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cfa56d59d395e8d263452e574681b26b0dc01635c050da67b2a73afda197a49",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-20T18:59:45Z",
    "title_canon_sha256": "7446509fc2f7de7b5731f217f24cffb3ea9ed02af8d76bf422bac07d475bb072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4070",
    "kind": "arxiv",
    "version": 1
  }
}