Pith Number

pith:3ZBB6U2C

pith:2013:3ZBB6U2C2ABZ62H4WGD4C5WRJW

not attested not anchored not stored refs pending

Isomorphic universality and the number of pairwise non-isomorphic models in the class of Banach spaces

Mirna D\v{z}amonja

arxiv:1308.3640 v3 · 2013-08-16 · math.LO · 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{3ZBB6U2C2ABZ62H4WGD4C5WRJW}

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	2026-05-18T02:41:52.153339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de421f5342d0039f68fcb187c176d14daeba2ce648222979e33a2b5a85989381

Aliases

arxiv: 1308.3640 · arxiv_version: 1308.3640v3 · doi: 10.48550/arxiv.1308.3640 · pith_short_12: 3ZBB6U2C2ABZ · pith_short_16: 3ZBB6U2C2ABZ62H4 · pith_short_8: 3ZBB6U2C

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/3ZBB6U2C2ABZ62H4WGD4C5WRJW \
  | 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: de421f5342d0039f68fcb187c176d14daeba2ce648222979e33a2b5a85989381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01a1df0966d92516eab515a6eb5f4a1340d4a07ffcca66c1439dda1f46c3a43",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-16T14:30:04Z",
    "title_canon_sha256": "e8d132977232933c894d7bd57e3dcd21fc77df6c2278b42a7e0bd09631b030f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3640",
    "kind": "arxiv",
    "version": 3
  }
}