Pith Number

pith:2AQPBU5C

pith:2016:2AQPBU5CVNNIFZJ753I43OAXZS

not attested not anchored not stored refs pending

New examples of r-harmonic immersions into the sphere

Andrea Ratto, Stefano Montaldo

arxiv:1611.09001 v1 · 2016-11-28 · 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{2AQPBU5CVNNIFZJ753I43OAXZS}

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	2026-05-18T00:56:29.569401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d020f0d3a2ab5a82e53feed1cdb817cc8bace2dc1c0416f1ab96388188957ed3

Aliases

arxiv: 1611.09001 · arxiv_version: 1611.09001v1 · doi: 10.48550/arxiv.1611.09001 · pith_short_12: 2AQPBU5CVNNI · pith_short_16: 2AQPBU5CVNNIFZJ7 · pith_short_8: 2AQPBU5C

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/2AQPBU5CVNNIFZJ753I43OAXZS \
  | 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: d020f0d3a2ab5a82e53feed1cdb817cc8bace2dc1c0416f1ab96388188957ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe392125d5904704fec3d1775a2ab5a6c3cc8bfe58f22e080490fc9b8711d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-28T06:59:09Z",
    "title_canon_sha256": "a97507075afc305f105887e4302bd36a8f2543b7542178cafb473b2f4fd4dd24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09001",
    "kind": "arxiv",
    "version": 1
  }
}