Pith Number

pith:APYDHBID

pith:2010:APYDHBIDNAWQOW6AYWOZJ5HOL6

not attested not anchored not stored refs pending

Subspace structure of some operator and Banach spaces

Christian Rosendal, Timur Oikhberg

arxiv:1009.3591 v1 · 2010-09-18 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APYDHBIDNAWQOW6AYWOZJ5HOL6}

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	2026-05-18T04:40:44.495137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f0338503682d075bc0c59d94f4ee5faed4f1bf6ad5732a35633adb368e162d

Aliases

arxiv: 1009.3591 · arxiv_version: 1009.3591v1 · doi: 10.48550/arxiv.1009.3591 · pith_short_12: APYDHBIDNAWQ · pith_short_16: APYDHBIDNAWQOW6A · pith_short_8: APYDHBID

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/APYDHBIDNAWQOW6AYWOZJ5HOL6 \
  | 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: 03f0338503682d075bc0c59d94f4ee5faed4f1bf6ad5732a35633adb368e162d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495d41f13919dfb49c8a6ce971f8a76f5007b40ec48634ccc8ff3e047acc5f2a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-18T22:27:42Z",
    "title_canon_sha256": "edd24751b40c260e8de86f529eaf3d393d0ec5e4860be4979ae76ad9ab3aa528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3591",
    "kind": "arxiv",
    "version": 1
  }
}