Pith Number

pith:26DX6HIX

pith:2016:26DX6HIXL4YLXP2U6U3OHYTXL5

not attested not anchored not stored refs pending

Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces

Cormac Walsh

arxiv:1610.07508 v1 · 2016-10-24 · math.MG · 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{26DX6HIXL4YLXP2U6U3OHYTXL5}

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	2026-05-18T01:01:29.939264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7877f1d175f30bbbf54f536e3e2775f641e8a65bca25998cece2cae7e484aaf

Aliases

arxiv: 1610.07508 · arxiv_version: 1610.07508v1 · doi: 10.48550/arxiv.1610.07508 · pith_short_12: 26DX6HIXL4YL · pith_short_16: 26DX6HIXL4YLXP2U · pith_short_8: 26DX6HIX

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/26DX6HIXL4YLXP2U6U3OHYTXL5 \
  | 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: d7877f1d175f30bbbf54f536e3e2775f641e8a65bca25998cece2cae7e484aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d5c1b7062fff891ee18945b864b580b3f8d4dce47344ecd09696daf68405a0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-24T17:48:08Z",
    "title_canon_sha256": "55f790ec0a2959348da0085bf15e862c7e3aab6a8489a3e0801be5fa6b29ecd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07508",
    "kind": "arxiv",
    "version": 1
  }
}