Pith Number

pith:TDLMEDT4

pith:2011:TDLMEDT4DMLUPVD7AE2H35QT2X

not attested not anchored not stored refs pending

Different forms of metric characterizations of classes of Banach spaces

Mikhail I. Ostrovskii

arxiv:1112.0801 v1 · 2011-12-04 · math.FA · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDLMEDT4DMLUPVD7AE2H35QT2X}

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	2026-05-18T03:04:24.409751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d6c20e7c1b1747d47f01347df613d5fa8f908423edb5797b6848f067e1351f

Aliases

arxiv: 1112.0801 · arxiv_version: 1112.0801v1 · doi: 10.48550/arxiv.1112.0801 · pith_short_12: TDLMEDT4DMLU · pith_short_16: TDLMEDT4DMLUPVD7 · pith_short_8: TDLMEDT4

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/TDLMEDT4DMLUPVD7AE2H35QT2X \
  | 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: 98d6c20e7c1b1747d47f01347df613d5fa8f908423edb5797b6848f067e1351f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6f94afc47cbe240d720a129cb8115bf8ca09e293571b888275fd9d296b4a81",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-04T22:29:44Z",
    "title_canon_sha256": "d4ff66673b33f1df571d7791ebea92d9e98be77de7de5a36c6583886c8dea5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0801",
    "kind": "arxiv",
    "version": 1
  }
}