Pith Number

pith:AQYE3BJT

pith:2018:AQYE3BJTEFGGY22BCU5MIWTHU3

not attested not anchored not stored refs pending

Negative type diversities, a multi-dimensional analogue of negative type metrics

David Bryant, Paul F. Tupper, Pei Wu

arxiv:1809.06523 v1 · 2018-09-18 · math.MG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQYE3BJTEFGGY22BCU5MIWTHU3}

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	2026-05-18T00:05:26.907483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04304d8533214c6c6b41153ac45a67a6fa1830778b1a422fc6e496c316b1e919

Aliases

arxiv: 1809.06523 · arxiv_version: 1809.06523v1 · doi: 10.48550/arxiv.1809.06523 · pith_short_12: AQYE3BJTEFGG · pith_short_16: AQYE3BJTEFGGY22B · pith_short_8: AQYE3BJT

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/AQYE3BJTEFGGY22BCU5MIWTHU3 \
  | 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: 04304d8533214c6c6b41153ac45a67a6fa1830778b1a422fc6e496c316b1e919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0701d549dda99801a643848e91cbe01a4b6b69a78e85ea2b602398d514b39890",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-18T04:14:34Z",
    "title_canon_sha256": "769939024f5ae64f3ecdfce95743901bee51073652ca2160cea2475fef66cdda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06523",
    "kind": "arxiv",
    "version": 1
  }
}