Pith Number

pith:S5B6NHA5

pith:2011:S5B6NHA5N4SOA4SUTWNNSMBSNB

not attested not anchored not stored refs pending

Shift invariant preduals of $\ell_1(\Z)$

Matthew Daws, Richard Haydon, Stuart White, Thomas Schlumprecht

arxiv:1101.5696 v2 · 2011-01-29 · 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{S5B6NHA5N4SOA4SUTWNNSMBSNB}

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	2026-05-18T03:34:48.631062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9743e69c1d6f24e072549d9ad93032687079d114cf1370b599c95bdcce23e4f2

Aliases

arxiv: 1101.5696 · arxiv_version: 1101.5696v2 · doi: 10.48550/arxiv.1101.5696 · pith_short_12: S5B6NHA5N4SO · pith_short_16: S5B6NHA5N4SOA4SU · pith_short_8: S5B6NHA5

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/S5B6NHA5N4SOA4SUTWNNSMBSNB \
  | 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: 9743e69c1d6f24e072549d9ad93032687079d114cf1370b599c95bdcce23e4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528a79868eed7271de49fbdb62f91b2f23f081a0146e71fbf3a1b4d549eaa213",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-29T14:35:04Z",
    "title_canon_sha256": "0f59f7b44877e901bb21702927eb65b246e22a9c47d4b9bddf2cde2637c53e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5696",
    "kind": "arxiv",
    "version": 2
  }
}