Pith Number

pith:WP4QHGHS

pith:2012:WP4QHGHSVIWCSLYBWCRBJPSGGW

not attested not anchored not stored refs pending

Further properties of $\ell^p$ dimension

Antoine Gournay

arxiv:1202.5266 v3 · 2012-02-23 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WP4QHGHSVIWCSLYBWCRBJPSGGW}

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	2026-05-18T03:59:27.007157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f90398f2aa2c292f01b0a214be4635b2594b3cdf42ffaf64eb0b69a247a79e

Aliases

arxiv: 1202.5266 · arxiv_version: 1202.5266v3 · doi: 10.48550/arxiv.1202.5266 · pith_short_12: WP4QHGHSVIWC · pith_short_16: WP4QHGHSVIWCSLYB · pith_short_8: WP4QHGHS

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/WP4QHGHSVIWCSLYBWCRBJPSGGW \
  | 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: b3f90398f2aa2c292f01b0a214be4635b2594b3cdf42ffaf64eb0b69a247a79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1033ffca5e50ad64701de83e7d61e8ccb07433ae98824792ed07c9119e829b23",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-23T19:17:58Z",
    "title_canon_sha256": "df9ef62e7d9a7295b4053ec3feb941d9612ffec30174da16c502e057550d5f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5266",
    "kind": "arxiv",
    "version": 3
  }
}