Pith Number

pith:5BEFTIWA

pith:2016:5BEFTIWABHW7PFQROUHSCQ4MIA

not attested not anchored not stored refs pending

Scott approach distance on metric spaces

Dexue Zhang, Wei Li

arxiv:1610.06341 v3 · 2016-10-20 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BEFTIWABHW7PFQROUHSCQ4MIA}

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	2026-05-18T00:14:16.662064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84859a2c009edf79611750f21438c402090ec13187e6746b9336945092e1d72

Aliases

arxiv: 1610.06341 · arxiv_version: 1610.06341v3 · doi: 10.48550/arxiv.1610.06341 · pith_short_12: 5BEFTIWABHW7 · pith_short_16: 5BEFTIWABHW7PFQR · pith_short_8: 5BEFTIWA

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/5BEFTIWABHW7PFQROUHSCQ4MIA \
  | 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: e84859a2c009edf79611750f21438c402090ec13187e6746b9336945092e1d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02a75474660ae14f15daf5c3176481f2225883f7f2d23282cf51f86080b8c00",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-10-20T09:50:37Z",
    "title_canon_sha256": "a889c22f0023b3dc1d267d121b5c21562b8bb098a3a6f6b4cce169bc966f4547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06341",
    "kind": "arxiv",
    "version": 3
  }
}