Pith Number

pith:OPI3K5EF

pith:2016:OPI3K5EFPDX3TQVEFQUMCHMAEI

not attested not anchored not stored refs pending

Mappings of preserving $n$-distance one in $n$-normed spaces

Dongni Tan, Xujian Huang

arxiv:1609.06033 v1 · 2016-09-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPI3K5EFPDX3TQVEFQUMCHMAEI}

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	2026-05-18T01:04:16.854495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d1b5748578efb9c2a42c28c11d802215fb625c7907a06c2e70ec84e5331f36

Aliases

arxiv: 1609.06033 · arxiv_version: 1609.06033v1 · doi: 10.48550/arxiv.1609.06033 · pith_short_12: OPI3K5EFPDX3 · pith_short_16: OPI3K5EFPDX3TQVE · pith_short_8: OPI3K5EF

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/OPI3K5EFPDX3TQVEFQUMCHMAEI \
  | 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: 73d1b5748578efb9c2a42c28c11d802215fb625c7907a06c2e70ec84e5331f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f37ffb7c9558883cce53c6e9485b52b2289ae572704337e6ab600157cab4ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-20T06:40:18Z",
    "title_canon_sha256": "127b33b1ee780a0f37a82ecbc6e3d3263fd20e95475c701f57aae7f8fc100265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06033",
    "kind": "arxiv",
    "version": 1
  }
}