Pith Number

pith:2CLEGYM7

pith:2018:2CLEGYM73CYOMHLG4X2VDEGYX4

not attested not anchored not stored refs pending

On the Maurey--Pisier and Dvoretzky--Rogers theorems

Gustavo Ara\'ujo, Joedson Santos

arxiv:1811.09183 v1 · 2018-11-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CLEGYM73CYOMHLG4X2VDEGYX4}

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	2026-05-18T00:00:06.822495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09643619fd8b0e61d66e5f55190d8bf241adb5973f0321ff63a5d9b9fa3ff2b

Aliases

arxiv: 1811.09183 · arxiv_version: 1811.09183v1 · doi: 10.48550/arxiv.1811.09183 · pith_short_12: 2CLEGYM73CYO · pith_short_16: 2CLEGYM73CYOMHLG · pith_short_8: 2CLEGYM7

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/2CLEGYM73CYOMHLG4X2VDEGYX4 \
  | 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: d09643619fd8b0e61d66e5f55190d8bf241adb5973f0321ff63a5d9b9fa3ff2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47eb925dfe5abc3dd72d8ab49ca11b647e957174d1622fe3b1811ac49665a9c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-22T14:13:13Z",
    "title_canon_sha256": "b7df9bfa2eb883fc8cdec3dfeadd737a86c1726d8f3fd65e9e8090d508e13d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09183",
    "kind": "arxiv",
    "version": 1
  }
}