Pith Number

pith:ZMLF4TVG

pith:2016:ZMLF4TVGPOIVZ6FTAQLFQQ7IJ3

not attested not anchored not stored refs pending

The Szlenk index of injective tensor products and convex hulls

Ryan M Causey

arxiv:1604.07875 v2 · 2016-04-26 · 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{ZMLF4TVGPOIVZ6FTAQLFQQ7IJ3}

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	2026-05-18T00:43:09.454657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb165e4ea67b915cf8b304165843e84edecbe2858c9e74f45c954a0bde11c42a

Aliases

arxiv: 1604.07875 · arxiv_version: 1604.07875v2 · doi: 10.48550/arxiv.1604.07875 · pith_short_12: ZMLF4TVGPOIV · pith_short_16: ZMLF4TVGPOIVZ6FT · pith_short_8: ZMLF4TVG

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/ZMLF4TVGPOIVZ6FTAQLFQQ7IJ3 \
  | 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: cb165e4ea67b915cf8b304165843e84edecbe2858c9e74f45c954a0bde11c42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4817501aaf39ca0a3e173cfdf1b88100ff5c19640bb721385fb2395e74af6670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-26T22:21:45Z",
    "title_canon_sha256": "590e2834dc235fdaa6428a53a7d342e652df888bbd14d03ec4cdd880e6cc09d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07875",
    "kind": "arxiv",
    "version": 2
  }
}