Pith Number

pith:GKZZTYDE

pith:2019:GKZZTYDEELOJFBOOFNQTSPZLPB

not attested not anchored not stored refs pending

The Quasi-hyperbolicity Constant of a Metric Space

Andrew Nicas, George Dragomir

arxiv:1908.04440 v2 · 2019-08-12 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKZZTYDEELOJFBOOFNQTSPZLPB}

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	2026-07-05T03:09:42.283056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b399e06422dc9285ce2b61393f2b7867051182eaebf47e52d140f73d54df5e

Aliases

arxiv: 1908.04440 · arxiv_version: 1908.04440v2 · doi: 10.48550/arxiv.1908.04440 · pith_short_12: GKZZTYDEELOJ · pith_short_16: GKZZTYDEELOJFBOO · pith_short_8: GKZZTYDE

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/GKZZTYDEELOJFBOOFNQTSPZLPB \
  | 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: 32b399e06422dc9285ce2b61393f2b7867051182eaebf47e52d140f73d54df5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431fb2e6fd400eeaa0b9a7cf7df9328fb8b97eff809d02a824636fff9337479d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-12T23:47:17Z",
    "title_canon_sha256": "ec44d50ebc94108d57dabbcaac26317e848dcd1a811ed91779ad21b0991b4009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04440",
    "kind": "arxiv",
    "version": 2
  }
}