Pith Number

pith:NZ2WQME4

pith:2018:NZ2WQME4X4Q5KKFSOXGXUMIV3W

not attested not anchored not stored refs pending

Improper affine spheres and the Hessian one equation

Antonio Mart\'inez, Francisco Mil\'an

arxiv:1803.08279 v1 · 2018-03-22 · 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{NZ2WQME4X4Q5KKFSOXGXUMIV3W}

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	2026-05-18T00:20:23.215002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7568309cbf21d528b275cd7a3115dd80fe8c3ba186148397a18e5f527d7e7d

Aliases

arxiv: 1803.08279 · arxiv_version: 1803.08279v1 · doi: 10.48550/arxiv.1803.08279 · pith_short_12: NZ2WQME4X4Q5 · pith_short_16: NZ2WQME4X4Q5KKFS · pith_short_8: NZ2WQME4

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/NZ2WQME4X4Q5KKFSOXGXUMIV3W \
  | 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: 6e7568309cbf21d528b275cd7a3115dd80fe8c3ba186148397a18e5f527d7e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f2ddb29631f9017a648001febf6fd8f68f18ff737f44c362f16a43374cd2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-22T09:25:32Z",
    "title_canon_sha256": "6421982ea87496ebec8378bd56db6ca05212328a52be5bd7a2fecf0cfa7b75bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08279",
    "kind": "arxiv",
    "version": 1
  }
}