Pith Number

pith:VFMNJ6TV

pith:2017:VFMNJ6TVW2I7VWECQE4DKTQ222

not attested not anchored not stored refs pending

Geometric interpretation of generalized distance-squared mappings of $\mathbb{R}^2$ into $\mathbb{R}^\ell$ $(\ell \geq 3)$

Shunsuke Ichiki

arxiv:1701.07938 v1 · 2017-01-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFMNJ6TVW2I7VWECQE4DKTQ222}

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	2026-05-18T00:51:59.344181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a958d4fa75b691fad8828138354e1ad68f57391a1fb1c22acc1598b826cfab97

Aliases

arxiv: 1701.07938 · arxiv_version: 1701.07938v1 · doi: 10.48550/arxiv.1701.07938 · pith_short_12: VFMNJ6TVW2I7 · pith_short_16: VFMNJ6TVW2I7VWEC · pith_short_8: VFMNJ6TV

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/VFMNJ6TVW2I7VWECQE4DKTQ222 \
  | 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: a958d4fa75b691fad8828138354e1ad68f57391a1fb1c22acc1598b826cfab97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812765d9d33e0379b26df6d24c4d43857092bc8157bf6ea859826132b674ef16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-27T04:17:13Z",
    "title_canon_sha256": "727b301528ec73f158e4fbf9757c367db1ddaaddabb3fcd0e45170753ccee00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07938",
    "kind": "arxiv",
    "version": 1
  }
}