Pith Number

pith:ZYHGX6HL

pith:2012:ZYHGX6HLAN2HJKWURA456R2P4E

not attested not anchored not stored refs pending

Sharp Lipschitz constants for the distance ratio metric

Gendi Wang, Matti Vuorinen, Slavko Simi\'c

arxiv:1202.6565 v5 · 2012-02-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYHGX6HLAN2HJKWURA456R2P4E}

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	2026-05-18T03:18:51.891113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0e6bf8eb037474aad48839df474fe11939a5e711a221b46255c1b9796d58ea

Aliases

arxiv: 1202.6565 · arxiv_version: 1202.6565v5 · doi: 10.48550/arxiv.1202.6565 · pith_short_12: ZYHGX6HLAN2H · pith_short_16: ZYHGX6HLAN2HJKWU · pith_short_8: ZYHGX6HL

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/ZYHGX6HLAN2HJKWURA456R2P4E \
  | 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: ce0e6bf8eb037474aad48839df474fe11939a5e711a221b46255c1b9796d58ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7132558061a2680d64ad44ca8f146fd82ac611349c8116c5f54a55507770f71e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-29T15:01:18Z",
    "title_canon_sha256": "0436f856b7e61c02d8826f2cdc7710e25b720ec35e4310be02130e3b7ae8fd97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6565",
    "kind": "arxiv",
    "version": 5
  }
}