Pith Number

pith:4HTT6ZOU

pith:2017:4HTT6ZOUQ6RTLD6CLI3ZCPN7ES

not attested not anchored not stored refs pending

A sufficient condition to a regular set of positive measure on RCD spaces

Yu Kitabeppu

arxiv:1708.04309 v1 · 2017-08-08 · 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{4HTT6ZOUQ6RTLD6CLI3ZCPN7ES}

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	2026-05-18T00:37:59.706855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e73f65d487a3358fc25a37913dbf24948423005419f33adf43c5499f3a2d1a

Aliases

arxiv: 1708.04309 · arxiv_version: 1708.04309v1 · doi: 10.48550/arxiv.1708.04309 · pith_short_12: 4HTT6ZOUQ6RT · pith_short_16: 4HTT6ZOUQ6RTLD6C · pith_short_8: 4HTT6ZOU

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/4HTT6ZOUQ6RTLD6CLI3ZCPN7ES \
  | 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: e1e73f65d487a3358fc25a37913dbf24948423005419f33adf43c5499f3a2d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6e244da8cd1e6545ce47f9b7ca6eb99b37227610cbad5e551db33629a5938c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-08-08T09:43:40Z",
    "title_canon_sha256": "bac5be25db26fd8cfe47ce41438fcba013f204f02a2141ab825723f59e13d851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04309",
    "kind": "arxiv",
    "version": 1
  }
}