Pith Number

pith:RZKK4QF5

pith:2016:RZKK4QF5A764YPQAFNHFPB2X7E

not attested not anchored not stored refs pending

Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity

C. Ward Henson, Yves Raynaud

arxiv:1606.03122 v2 · 2016-06-09 · math.FA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZKK4QF5A764YPQAFNHFPB2X7E}

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	2026-05-18T00:47:58.980100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e54ae40bd07fdcc3e002b4e578757f918f680d71eea0cd35190a3620f310890

Aliases

arxiv: 1606.03122 · arxiv_version: 1606.03122v2 · doi: 10.48550/arxiv.1606.03122 · pith_short_12: RZKK4QF5A764 · pith_short_16: RZKK4QF5A764YPQA · pith_short_8: RZKK4QF5

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/RZKK4QF5A764YPQAFNHFPB2X7E \
  | 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: 8e54ae40bd07fdcc3e002b4e578757f918f680d71eea0cd35190a3620f310890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba7c916ef1fcb5c5b4984b9934998b4ceb6cc4b6075180fbf9f7fcd30e2eab3",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-09T21:05:41Z",
    "title_canon_sha256": "7619cb5fad5dbeccad459394ea98d5c19a51f61b60881005d1109a0b226e6913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03122",
    "kind": "arxiv",
    "version": 2
  }
}