Pith Number

pith:D4DTWKWU

pith:2012:D4DTWKWUWIK6DBDP437IN4WVM4

not attested not anchored not stored refs pending

A Bourgain-Pisier construction for general Banach spaces

J. Lopez-Abad

arxiv:1210.5728 v1 · 2012-10-21 · 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{D4DTWKWUWIK6DBDP437IN4WVM4}

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	2026-05-18T03:42:43.205897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f073b2ad4b215e1846fe6fe86f2d567239eff338b6adc35e98d33ea80cb7509

Aliases

arxiv: 1210.5728 · arxiv_version: 1210.5728v1 · doi: 10.48550/arxiv.1210.5728 · pith_short_12: D4DTWKWUWIK6 · pith_short_16: D4DTWKWUWIK6DBDP · pith_short_8: D4DTWKWU

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/D4DTWKWUWIK6DBDP437IN4WVM4 \
  | 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: 1f073b2ad4b215e1846fe6fe86f2d567239eff338b6adc35e98d33ea80cb7509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b7b85c5f7dc1ec33bd243b5cdd50b6f3baf245a402c579a257c8e2dd4c91ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-21T13:54:30Z",
    "title_canon_sha256": "9ec4f8e028bbde9a6facd0d9a537fd46db470158cb562913d1fb7f47854cfa90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5728",
    "kind": "arxiv",
    "version": 1
  }
}