Pith Number

pith:4K4M7SSY

pith:2026:4K4M7SSY7EX3JJDBITSWB6ZYN3

not attested not anchored not stored refs pending

On one relaxation of the bounded-length-distortion condition in the context of metric measure spaces

Roman D. Oleinik

arxiv:2607.00278 v1 · 2026-06-30 · 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{4K4M7SSY7EX3JJDBITSWB6ZYN3}

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	2026-07-02T00:18:42.536306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b8cfca58f92fb4a46144e560fb386ef2a2770c6c007193adee36fcc629fb39

Aliases

arxiv: 2607.00278 · arxiv_version: 2607.00278v1 · doi: 10.48550/arxiv.2607.00278 · pith_short_12: 4K4M7SSY7EX3 · pith_short_16: 4K4M7SSY7EX3JJDB · pith_short_8: 4K4M7SSY

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/4K4M7SSY7EX3JJDBITSWB6ZYN3 \
  | 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: e2b8cfca58f92fb4a46144e560fb386ef2a2770c6c007193adee36fcc629fb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4485db73748f342250643eec01e5801f54b18c61f99b1cf1491dcf8f6f578c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-30T23:58:26Z",
    "title_canon_sha256": "ff6aa45799cc5709425eccde1cac230af1e40bdba1c46d0ccfd71bc97fe9da98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00278",
    "kind": "arxiv",
    "version": 1
  }
}