Pith Number

pith:2DUHR2BO

pith:2005:2DUHR2BOGVKWRUCATW7PFVQHW6

not attested not anchored not stored refs pending

Separated sequences in uniformly convex Banach spaces

Jan van Neerven

arxiv:math/0509344 v1 · 2005-09-15 · 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{2DUHR2BOGVKWRUCATW7PFVQHW6}

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	2026-07-04T14:40:23.074205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e878e82e355568d0409dbef2d607b7abd6f5ca82bfb1e23e7d20b309113336

Aliases

arxiv: math/0509344 · arxiv_version: math/0509344v1 · doi: 10.48550/arxiv.math/0509344 · pith_short_12: 2DUHR2BOGVKW · pith_short_16: 2DUHR2BOGVKWRUCA · pith_short_8: 2DUHR2BO

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/2DUHR2BOGVKWRUCATW7PFVQHW6 \
  | 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: d0e878e82e355568d0409dbef2d607b7abd6f5ca82bfb1e23e7d20b309113336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a104c2fb64d5858b72aaa362cb459bbe4e9e02bdd8c7aa123101952913082674",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-09-15T07:11:22Z",
    "title_canon_sha256": "b2b02c2a30808de42bd8a9756eb45f0da4cb9aee04f78718abfcace09ad2af0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509344",
    "kind": "arxiv",
    "version": 1
  }
}