Pith Number

pith:YXB2PCOT

pith:2016:YXB2PCOTQG6TYUH7G6Z2COBALX

not attested not anchored not stored refs pending

A 1-separably injective space that does not contain $\ell_\infty$

Antonio Avil\'es, Piotr Koszmider

arxiv:1609.02685 v3 · 2016-09-09 · 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{YXB2PCOTQG6TYUH7G6Z2COBALX}

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	2026-05-18T00:24:53.244931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c3a789d381bd3c50ff37b3a138205dc330319489c317b94a584252ac031203

Aliases

arxiv: 1609.02685 · arxiv_version: 1609.02685v3 · doi: 10.48550/arxiv.1609.02685 · pith_short_12: YXB2PCOTQG6T · pith_short_16: YXB2PCOTQG6TYUH7 · pith_short_8: YXB2PCOT

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/YXB2PCOTQG6TYUH7G6Z2COBALX \
  | 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: c5c3a789d381bd3c50ff37b3a138205dc330319489c317b94a584252ac031203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6467e842552997bc8e9ccfe52b4d4b6f63f7c5c3ed3b85d01ec4707a2208d97",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-09T08:14:21Z",
    "title_canon_sha256": "87bdc3c7725cda095cb9369fa6f37e6cf366cdb4fe2d687e5954b391b0ee1acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02685",
    "kind": "arxiv",
    "version": 3
  }
}