Pith Number

pith:H3SL72VE

pith:2016:H3SL72VE32Y5WV77SWHLHRD5RK

not attested not anchored not stored refs pending

Slice-quaternionic Hopf surfaces

Cinzia Bisi, Daniele Angella

arxiv:1606.06128 v4 · 2016-06-20 · math.CV · math.AG · 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{H3SL72VE32Y5WV77SWHLHRD5RK}

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	2026-05-17T23:42:31.239769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee4bfeaa4deb1db57ff958eb3c47d8a93f8c0219592df440e8218a2e4633d11

Aliases

arxiv: 1606.06128 · arxiv_version: 1606.06128v4 · doi: 10.48550/arxiv.1606.06128 · pith_short_12: H3SL72VE32Y5 · pith_short_16: H3SL72VE32Y5WV77 · pith_short_8: H3SL72VE

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/H3SL72VE32Y5WV77SWHLHRD5RK \
  | 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: 3ee4bfeaa4deb1db57ff958eb3c47d8a93f8c0219592df440e8218a2e4633d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d23b39ab8ba4649d567b306e7d42b9578e2adeb800cba10ecb8de6ffa44bda",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-06-20T14:11:09Z",
    "title_canon_sha256": "a55955e422f3c2300e5fa48fa74b546f90c7fff34109a1af1f2b2b35e6db5db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06128",
    "kind": "arxiv",
    "version": 4
  }
}