Pith Number

pith:O7UIQAP5

pith:2017:O7UIQAP5IQLYTLVDPZSYYFILIJ

not attested not anchored not stored refs pending

Remarks on strong embeddability for discrete metric spaces and groups

Guoqiang Li, Xianjin Wang

arxiv:1709.02522 v1 · 2017-09-08 · math.FA · 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{O7UIQAP5IQLYTLVDPZSYYFILIJ}

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	2026-05-18T00:35:45.481565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e88801fd441789aea37e658c150b425353a13cd59afb098a7d2b3978996e98

Aliases

arxiv: 1709.02522 · arxiv_version: 1709.02522v1 · doi: 10.48550/arxiv.1709.02522 · pith_short_12: O7UIQAP5IQLY · pith_short_16: O7UIQAP5IQLYTLVD · pith_short_8: O7UIQAP5

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/O7UIQAP5IQLYTLVDPZSYYFILIJ \
  | 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: 77e88801fd441789aea37e658c150b425353a13cd59afb098a7d2b3978996e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9fdb364a8d48f011854f60a1048b5e989e50d3f75e216a01a517e71ef8adf1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-08T03:34:27Z",
    "title_canon_sha256": "f42d0d92d9e0e3137d2656e75aed66ee3612cbd19b48f9ca8d6913bcf4bd1619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02522",
    "kind": "arxiv",
    "version": 1
  }
}