Pith Number

pith:5FP667N5

pith:2009:5FP667N5PDI4VL6242IJSS6KZS

not attested not anchored not stored refs pending

Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces

Masaaki Umehara, Masatoshi Kokubu

arxiv:0907.2284 v3 · 2009-07-14 · 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{5FP667N5PDI4VL6242IJSS6KZS}

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	2026-05-18T04:18:43.849459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95fef7dbd78d1caafdae690994bcaccb507c7771c7f6e2b4d10a284dd5ab468

Aliases

arxiv: 0907.2284 · arxiv_version: 0907.2284v3 · doi: 10.48550/arxiv.0907.2284 · pith_short_12: 5FP667N5PDI4 · pith_short_16: 5FP667N5PDI4VL62 · pith_short_8: 5FP667N5

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/5FP667N5PDI4VL6242IJSS6KZS \
  | 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: e95fef7dbd78d1caafdae690994bcaccb507c7771c7f6e2b4d10a284dd5ab468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84eaf0f40cffba7a13daee75cc1ef5fcc1d67cd61855212d6ca6fd29f3779b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-14T03:48:31Z",
    "title_canon_sha256": "38b1c070860d693f8aae105ec88e93faf11a593d4b856084842de54f978497dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2284",
    "kind": "arxiv",
    "version": 3
  }
}