Pith Number

pith:KI7KMTZS

pith:2017:KI7KMTZSO66KCYU2ZCHHXJ7EC2

not attested not anchored not stored refs pending

Prescribed Szlenk index of separable Banch spaces

Gilles Lancien, Ryan M. Causey

arxiv:1710.01638 v2 · 2017-10-04 · 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{KI7KMTZSO66KCYU2ZCHHXJ7EC2}

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	2026-05-18T00:05:51.141334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523ea64f3277bca1629ac88e7ba7e4169045b9a4adff2256a9d8b5feb3b73e61

Aliases

arxiv: 1710.01638 · arxiv_version: 1710.01638v2 · doi: 10.48550/arxiv.1710.01638 · pith_short_12: KI7KMTZSO66K · pith_short_16: KI7KMTZSO66KCYU2 · pith_short_8: KI7KMTZS

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/KI7KMTZSO66KCYU2ZCHHXJ7EC2 \
  | 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: 523ea64f3277bca1629ac88e7ba7e4169045b9a4adff2256a9d8b5feb3b73e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb020c26b0f163a7e816b726df0a3da932df67a6a91b834096a16505ff0aba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-04T14:51:02Z",
    "title_canon_sha256": "17a001a781e8d322e84d51ffa6529938cf5c3e4f90d187fcbf0b9a4247be2c6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01638",
    "kind": "arxiv",
    "version": 2
  }
}