Pith Number

pith:N2NZRUQS

pith:2016:N2NZRUQSMXV3JRPFD7UWAJRFRJ

not attested not anchored not stored refs pending

Serrin's overdetermined problem on the sphere

Ignace Aristide Minlend, Mouhamed Moustapha Fall, Tobias Weth

arxiv:1612.03717 v2 · 2016-12-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2NZRUQSMXV3JRPFD7UWAJRFRJ}

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	2026-05-18T00:31:00.203760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9b98d21265ebb4c5e51fe96026258a655e8fede14ab524b2505e0b111399d3

Aliases

arxiv: 1612.03717 · arxiv_version: 1612.03717v2 · doi: 10.48550/arxiv.1612.03717 · pith_short_12: N2NZRUQSMXV3 · pith_short_16: N2NZRUQSMXV3JRPF · pith_short_8: N2NZRUQS

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/N2NZRUQSMXV3JRPFD7UWAJRFRJ \
  | 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: 6e9b98d21265ebb4c5e51fe96026258a655e8fede14ab524b2505e0b111399d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d85a7b32865c6d21b8ab2eeaea97362ddd8bd9774df86d0013790a4fc9a8c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-12T14:47:32Z",
    "title_canon_sha256": "cac9d61fa6a209e3c488fd67cde161b24acf3518f6a8563e0ae2f4693b1c0f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03717",
    "kind": "arxiv",
    "version": 2
  }
}