Pith Number

pith:TYATRSVT

pith:2017:TYATRSVTAJYTAFWIRWJWJTBMBH

not attested not anchored not stored refs pending

The Szlenk index of $L_p(X)$ and $A_p$

Ryan M. Causey

arxiv:1701.06226 v1 · 2017-01-22 · 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{TYATRSVTAJYTAFWIRWJWJTBMBH}

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	2026-05-18T00:52:18.929675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0138cab302713016c88d9364cc2c09ccdd7614a3a49dd34896931e1fc7a7ed

Aliases

arxiv: 1701.06226 · arxiv_version: 1701.06226v1 · doi: 10.48550/arxiv.1701.06226 · pith_short_12: TYATRSVTAJYT · pith_short_16: TYATRSVTAJYTAFWI · pith_short_8: TYATRSVT

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/TYATRSVTAJYTAFWIRWJWJTBMBH \
  | 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: 9e0138cab302713016c88d9364cc2c09ccdd7614a3a49dd34896931e1fc7a7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee156c88b05933c4ac4493ce742424ba6b33f5bc68a945b76b9f06a6c3b59ef5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-22T22:31:59Z",
    "title_canon_sha256": "4ae28e78ab551782302ef145bf941e4f149db7d5e7b5ca1af048846a9dabbbd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06226",
    "kind": "arxiv",
    "version": 1
  }
}