Pith Number

pith:BNZD3D66

pith:2015:BNZD3D666EOZLTHAO3XTEXR5V5

not attested not anchored not stored refs pending

The Jones Strong Distribution Banach Spaces

Tepper L. Gill

arxiv:1504.02794 v1 · 2015-04-10 · math.FA · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNZD3D666EOZLTHAO3XTEXR5V5}

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	2026-05-18T02:18:59.990740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b723d8fdef11d95cce076ef325e3daf5601e4da93cb864c6fa89281d5bbbdc2

Aliases

arxiv: 1504.02794 · arxiv_version: 1504.02794v1 · doi: 10.48550/arxiv.1504.02794 · pith_short_12: BNZD3D666EOZ · pith_short_16: BNZD3D666EOZLTHA · pith_short_8: BNZD3D66

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/BNZD3D666EOZLTHAO3XTEXR5V5 \
  | 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: 0b723d8fdef11d95cce076ef325e3daf5601e4da93cb864c6fa89281d5bbbdc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23b3326112c643c4942c79a1f96bb8cada6720e4350ad87a9aad53a98c2e59d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-10T21:09:57Z",
    "title_canon_sha256": "bf8b645239174df71d96c45792d40317074bda7d654ca3bd9b7bfcde83e08c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02794",
    "kind": "arxiv",
    "version": 1
  }
}