Pith Number

pith:VUFQENBA

pith:2012:VUFQENBAM2STXBJIPBODWO23NB

not attested not anchored not stored refs pending

Some remarks on universality properties of $\ell_\infty / c_0$

Mikolaj Krupski, Witold Marciszewski

arxiv:1207.3722 v1 · 2012-07-16 · 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{VUFQENBAM2STXBJIPBODWO23NB}

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	2026-05-17T23:58:42.808374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0b02342066a53b8528785c3b3b5b686242822503e57d409344cf1fb209cc92

Aliases

arxiv: 1207.3722 · arxiv_version: 1207.3722v1 · doi: 10.48550/arxiv.1207.3722 · pith_short_12: VUFQENBAM2ST · pith_short_16: VUFQENBAM2STXBJI · pith_short_8: VUFQENBA

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/VUFQENBAM2STXBJIPBODWO23NB \
  | 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: ad0b02342066a53b8528785c3b3b5b686242822503e57d409344cf1fb209cc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33e5914fad7521a780392baec4db9eec1e85467bd583ba78160150211227feb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-16T16:49:58Z",
    "title_canon_sha256": "25d8c375587af5ec9b65965c7c6722873cd461790254adb9fe73abde8b56c421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3722",
    "kind": "arxiv",
    "version": 1
  }
}