Pith Number

pith:4R7MOQYI

pith:2017:4R7MOQYIFJTMC6GYGX7ONJWUKZ

not attested not anchored not stored refs pending

Singular surfaces of revolution with prescribed unbounded mean curvature

Keisuke Teramoto, Kentaro Saji, Luciana F. Martins, Samuel P. dos Santos

arxiv:1712.07330 v2 · 2017-12-20 · 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{4R7MOQYIFJTMC6GYGX7ONJWUKZ}

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	2026-05-18T00:18:45.912227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47ec743082a66c178d835fee6a6d45658165cc76edf02bfcbf60e93eaf2d5a1

Aliases

arxiv: 1712.07330 · arxiv_version: 1712.07330v2 · doi: 10.48550/arxiv.1712.07330 · pith_short_12: 4R7MOQYIFJTM · pith_short_16: 4R7MOQYIFJTMC6GY · pith_short_8: 4R7MOQYI

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/4R7MOQYIFJTMC6GYGX7ONJWUKZ \
  | 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: e47ec743082a66c178d835fee6a6d45658165cc76edf02bfcbf60e93eaf2d5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6f9c9978bead1396b98abee78ced1822f4c35fa49c980be8334c0504e92aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-20T05:56:04Z",
    "title_canon_sha256": "af7171e5fff062523af8050af7d5ad83f5e1f3d9b2a6a2bf067e803f01f827a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07330",
    "kind": "arxiv",
    "version": 2
  }
}