Pith Number

pith:TX4BTQSD

pith:2018:TX4BTQSDLX6GFW5A5DAFDMAEFI

not attested not anchored not stored refs pending

On the extension of VMO functions

Almaz Butaev, Galia Dafni

arxiv:1809.01049 v1 · 2018-09-04 · 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{TX4BTQSDLX6GFW5A5DAFDMAEFI}

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	2026-05-18T00:06:31.843876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df819c2435dfc62dba0e8c051b0042a1fee9fdb420874d93272bb884a98f06f

Aliases

arxiv: 1809.01049 · arxiv_version: 1809.01049v1 · doi: 10.48550/arxiv.1809.01049 · pith_short_12: TX4BTQSDLX6G · pith_short_16: TX4BTQSDLX6GFW5A · pith_short_8: TX4BTQSD

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/TX4BTQSDLX6GFW5A5DAFDMAEFI \
  | 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: 9df819c2435dfc62dba0e8c051b0042a1fee9fdb420874d93272bb884a98f06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8431725422049e4da3d923de4bad383218e3ce051c907e441b0bb862741e7b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-04T15:37:19Z",
    "title_canon_sha256": "bb6ebf383a3d45acd7c77c0a3e39e1d4bcf7491f4725de7fb8d0a9e062941008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01049",
    "kind": "arxiv",
    "version": 1
  }
}