Pith Number

pith:3K6AR3HT

pith:2018:3K6AR3HTTNDPHJV4262PQB4P5Y

not attested not anchored not stored refs pending

Answers to some questions about Zadeh's extension on metric spaces

Guanrong Chen, Xinxing Wu, Xu Zhang

arxiv:1812.08584 v1 · 2018-12-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K6AR3HTTNDPHJV4262PQB4P5Y}

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	2026-05-17T23:57:49.586901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabc08ecf39b46f3a6bcd7b4f8078fee07bddff8411c381064e95d5501e01a61

Aliases

arxiv: 1812.08584 · arxiv_version: 1812.08584v1 · doi: 10.48550/arxiv.1812.08584 · pith_short_12: 3K6AR3HTTNDP · pith_short_16: 3K6AR3HTTNDPHJV4 · pith_short_8: 3K6AR3HT

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/3K6AR3HTTNDPHJV4262PQB4P5Y \
  | 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: dabc08ecf39b46f3a6bcd7b4f8078fee07bddff8411c381064e95d5501e01a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2575354e7caf3d7d2a6bfc0d443941e5b9041b18ea73257340f641e27a60d9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-02T14:17:47Z",
    "title_canon_sha256": "7216dbda259e0b9ceb47a0c15fb090b3edc95562b351eae019e6800d08be071d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08584",
    "kind": "arxiv",
    "version": 1
  }
}