Pith Number

pith:P2J44DMZ

pith:2025:P2J44DMZTBEK4OI6JZYWDKEZUX

not attested not anchored not stored refs pending

Labeled Trees Generating Separable and Locally Finite Ultrametrics

Oleksiy Dovgoshey, Olga Rovenska

arxiv:2506.03853 v2 · 2025-06-04 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2J44DMZTBEK4OI6JZYWDKEZUX}

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.

Cited by

1 paper in Pith

Hausdorff distance between ultrametric balls

Receipt and verification

First computed	2026-07-05T11:17:47.092585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e93ce0d999848ae391e4e7161a899a5cbd11c68dfc71b7d9843f8987acdc50a

Aliases

arxiv: 2506.03853 · arxiv_version: 2506.03853v2 · doi: 10.48550/arxiv.2506.03853 · pith_short_12: P2J44DMZTBEK · pith_short_16: P2J44DMZTBEK4OI6 · pith_short_8: P2J44DMZ

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/P2J44DMZTBEK4OI6JZYWDKEZUX \
  | 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: 7e93ce0d999848ae391e4e7161a899a5cbd11c68dfc71b7d9843f8987acdc50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb5f5f14d3a2cd1cc70a6b6d059d9a52d972f0fbe9dc6d68d4986d397a80cbe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2025-06-04T11:36:45Z",
    "title_canon_sha256": "1ef1cfb7aa238a855d1be29dce55408cef6f156be2dbf7bb2ecb1d41bda9978f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03853",
    "kind": "arxiv",
    "version": 2
  }
}