Pith Number

pith:2HGQPK3G

pith:2011:2HGQPK3GRQJKAECHCLPXSNM65M

not attested not anchored not stored refs pending

Lushness, numerical index 1 and the Daugavet property in rearrangement invariant spaces

Dirk Werner, Javier Meri, Miguel Martin, Vladimir Kadets

arxiv:1103.1282 v1 · 2011-03-07 · 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{2HGQPK3GRQJKAECHCLPXSNM65M}

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	2026-05-18T01:36:51.981859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1cd07ab668c12a0104712df79359eeb32ee229b64a93f3bda9ab59df7a6ab35

Aliases

arxiv: 1103.1282 · arxiv_version: 1103.1282v1 · doi: 10.48550/arxiv.1103.1282 · pith_short_12: 2HGQPK3GRQJK · pith_short_16: 2HGQPK3GRQJKAECH · pith_short_8: 2HGQPK3G

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/2HGQPK3GRQJKAECHCLPXSNM65M \
  | 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: d1cd07ab668c12a0104712df79359eeb32ee229b64a93f3bda9ab59df7a6ab35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3352dd6475796b90a222e9898f09d07a5e8698c8c7bdc22b7cbba67fe0ed9711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-07T14:38:53Z",
    "title_canon_sha256": "b839d46fc6e6e687275d3b8e34c967ce6dff9f1da67a952a49fd34a93695aa91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1282",
    "kind": "arxiv",
    "version": 1
  }
}