Pith Number

pith:3YMXXWFE

pith:2014:3YMXXWFENMYCWUA7FMBWRBRK4Q

not attested not anchored not stored refs pending

Non-compact families of complete, properly immersed minimal immersions with fixed topology via desingularization

Niels Martin Moller, Stephen J. Kleene

arxiv:1409.8381 v1 · 2014-09-30 · 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{3YMXXWFENMYCWUA7FMBWRBRK4Q}

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	2026-05-18T02:41:25.445986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de197bd8a46b302b501f2b0368862ae40b36fda5546e9344cbede54ff17d65c4

Aliases

arxiv: 1409.8381 · arxiv_version: 1409.8381v1 · doi: 10.48550/arxiv.1409.8381 · pith_short_12: 3YMXXWFENMYC · pith_short_16: 3YMXXWFENMYCWUA7 · pith_short_8: 3YMXXWFE

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/3YMXXWFENMYCWUA7FMBWRBRK4Q \
  | 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: de197bd8a46b302b501f2b0368862ae40b36fda5546e9344cbede54ff17d65c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d6fecd231145279b6fa8c880e8a2fa82dfa189e14561ed1c850594c49364e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-30T04:36:07Z",
    "title_canon_sha256": "eccb04c35e6a61a643d3c18e72d8b7b665baedf579ec9132cab5f2936ba8b1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8381",
    "kind": "arxiv",
    "version": 1
  }
}