Pith Number

pith:TITPZ7GS

pith:2016:TITPZ7GSCQH5HF5CUQ4GSU7JLQ

not attested not anchored not stored refs pending

Uniform perfectness for quasi-metric spaces

Ailing Xiao, Qingshan Zhou, Yaxiang Li

arxiv:1606.04628 v3 · 2016-06-15 · 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{TITPZ7GSCQH5HF5CUQ4GSU7JLQ}

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	2026-05-17T23:52:19.221539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a26fcfcd2140fd397a2a4386953e95c2269e4f53df2c89f84e19c6ad942198e

Aliases

arxiv: 1606.04628 · arxiv_version: 1606.04628v3 · doi: 10.48550/arxiv.1606.04628 · pith_short_12: TITPZ7GSCQH5 · pith_short_16: TITPZ7GSCQH5HF5C · pith_short_8: TITPZ7GS

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/TITPZ7GSCQH5HF5CUQ4GSU7JLQ \
  | 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: 9a26fcfcd2140fd397a2a4386953e95c2269e4f53df2c89f84e19c6ad942198e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e9ccf6779e62df873dce675988d80503ba7a6aa3af360fe4d4c8d3f57ec11f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-06-15T03:19:51Z",
    "title_canon_sha256": "971d3e15a369a048587cde9633ae79f819c9639132338b0ced488497854df4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04628",
    "kind": "arxiv",
    "version": 3
  }
}