Pith Number

pith:26WBWTLS

pith:2012:26WBWTLSE5KSFLFJXI7CJYQYV3

not attested not anchored not stored refs pending

Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces $L_p$ and $\ell_{p}$ for $0<p<\infty$

Fernando Albiac, Florent Baudier

arxiv:1206.3774 v2 · 2012-06-17 · math.MG · 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{26WBWTLSE5KSFLFJXI7CJYQYV3}

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	2026-05-18T00:34:25.121812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ac1b4d72275522aca9ba3e24e218aedc4dfd236445ca0d7d393a68bdb1d2be

Aliases

arxiv: 1206.3774 · arxiv_version: 1206.3774v2 · doi: 10.48550/arxiv.1206.3774 · pith_short_12: 26WBWTLSE5KS · pith_short_16: 26WBWTLSE5KSFLFJ · pith_short_8: 26WBWTLS

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/26WBWTLSE5KSFLFJXI7CJYQYV3 \
  | 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: d7ac1b4d72275522aca9ba3e24e218aedc4dfd236445ca0d7d393a68bdb1d2be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcdf462d012de7ae150eaf9430b52db6c5a143691b1e74edc1bd9d19a9c46d0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-17T17:46:45Z",
    "title_canon_sha256": "1e359fbb19c4c18211af19ef20ce6e938cc5c1ae9aa91e02aa78638f84293f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3774",
    "kind": "arxiv",
    "version": 2
  }
}