Pith Number

pith:UBMMRBLF

pith:2009:UBMMRBLFF6I6MPULYFVRC4YBQC

not attested not anchored not stored refs pending

Thickness of the unit sphere, $\ell_1$-types, and the almost Daugavet property

Dirk Werner, Varvara Shepelska, Vladimir Kadets

arxiv:0902.4503 v1 · 2009-02-26 · 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{UBMMRBLFF6I6MPULYFVRC4YBQC}

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	2026-05-18T01:36:52.075507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a058c885652f91e63e8bc16b117301808dcddcd9121bee931f8df05ede797184

Aliases

arxiv: 0902.4503 · arxiv_version: 0902.4503v1 · doi: 10.48550/arxiv.0902.4503 · pith_short_12: UBMMRBLFF6I6 · pith_short_16: UBMMRBLFF6I6MPUL · pith_short_8: UBMMRBLF

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/UBMMRBLFF6I6MPULYFVRC4YBQC \
  | 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: a058c885652f91e63e8bc16b117301808dcddcd9121bee931f8df05ede797184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4220ecea2f3f24d05cfbcb71c0ab017c83c519da3f3255216a010e3394a5401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-02-26T14:47:54Z",
    "title_canon_sha256": "45b955ce0f5bad6d1e44f116cf81af76d4c36c6dca7aa7468bf6d52249c0ee4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4503",
    "kind": "arxiv",
    "version": 1
  }
}