Pith Number

pith:ZG7X22HI

pith:2024:ZG7X22HI2K6LDQN376GYVPBVYG

not attested not anchored not stored refs pending

Gromov-Hausdorff Geometry of Metric Trees

A.A. Tuzhilin, A.O. Ivanov, I.N. Mikhailov

arxiv:2412.18888 v1 · 2024-12-25 · 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{ZG7X22HI2K6LDQN376GYVPBVYG}

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

2 papers in Pith

A problem of intersection of balls in normed space

Contractibility of the space of $\varepsilon$-nets in $\mathbb{R}$

Receipt and verification

First computed	2026-07-05T09:54:12.561494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bf7d68e8d2bcb1c1bbff8d8abc35c1a602ffb00179b8e918214d7eae389d53

Aliases

arxiv: 2412.18888 · arxiv_version: 2412.18888v1 · doi: 10.48550/arxiv.2412.18888 · pith_short_12: ZG7X22HI2K6L · pith_short_16: ZG7X22HI2K6LDQN3 · pith_short_8: ZG7X22HI

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/ZG7X22HI2K6LDQN376GYVPBVYG \
  | 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: c9bf7d68e8d2bcb1c1bbff8d8abc35c1a602ffb00179b8e918214d7eae389d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816f3b294552d130db11fd215c94494e6e99e011c6764826b7b391184e1cc659",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-25T12:15:56Z",
    "title_canon_sha256": "b6c73572d660f8fbec05e1a54f9d7114cf8d73b605d8c08d251903466c5db165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18888",
    "kind": "arxiv",
    "version": 1
  }
}