Pith Number

pith:VJSHALFW

pith:2026:VJSHALFWDU7BMPPHSTM2WRIQBU

not attested not anchored not stored refs pending

Kirszbraun extensions preserving uniform distance in Hilbert spaces

Krzysztof J. Ciosmak

arxiv:2607.17672 v1 · 2026-07-20 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJSHALFWDU7BMPPHSTM2WRIQBU}

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	2026-07-21T02:21:53.879386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa64702cb61d3e163de794d9ab45100d10c90994095530d3e0ebf11168854a9f

Aliases

arxiv: 2607.17672 · arxiv_version: 2607.17672v1 · doi: 10.48550/arxiv.2607.17672 · pith_short_12: VJSHALFWDU7B · pith_short_16: VJSHALFWDU7BMPPH · pith_short_8: VJSHALFW

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/VJSHALFWDU7BMPPHSTM2WRIQBU \
  | 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: aa64702cb61d3e163de794d9ab45100d10c90994095530d3e0ebf11168854a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6455962784a938a08e59ec39ddf0211296e1ee65d2fce5a6d16a3b77db1b45",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-20T08:24:35Z",
    "title_canon_sha256": "9b854a49e2c94714c9597e9afabd43196a689184e4c559988965c61d2968c311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17672",
    "kind": "arxiv",
    "version": 1
  }
}