Pith Number

pith:ASDY5BRI

pith:2019:ASDY5BRIVVUEOOT2SRYYFMTY2K

not attested not anchored not stored refs pending

Isoperimetric inequality on a metric measure space and Lipschitz order with an additive error

Hiroki Nakajima

arxiv:1902.07424 v1 · 2019-02-20 · 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{ASDY5BRIVVUEOOT2SRYYFMTY2K}

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	2026-05-17T23:53:07.964242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04878e8628ad68473a7a947182b278d2b2464135b9e44af77f7a751f96038071

Aliases

arxiv: 1902.07424 · arxiv_version: 1902.07424v1 · doi: 10.48550/arxiv.1902.07424 · pith_short_12: ASDY5BRIVVUE · pith_short_16: ASDY5BRIVVUEOOT2 · pith_short_8: ASDY5BRI

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/ASDY5BRIVVUEOOT2SRYYFMTY2K \
  | 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: 04878e8628ad68473a7a947182b278d2b2464135b9e44af77f7a751f96038071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54ca7e046a4c3f339dbd9cdc30e4d462bebbb807ae46fbf208cb9d424f50bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-02-20T06:10:23Z",
    "title_canon_sha256": "5b01a5de16a9f8a51e7cc033f68d1fe44027853a6fd09edd84ec4788369ca2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07424",
    "kind": "arxiv",
    "version": 1
  }
}