Pith Number

pith:SWDNTDLJ

pith:2010:SWDNTDLJAZMF44KVS5LV5FK2CG

not attested not anchored not stored refs pending

Half-space theorems and the embedded Calabi-Yau problem in Lie groups

Benoit Daniel, Harold Rosenberg, William H. Meeks III

arxiv:1012.1986 v1 · 2010-12-09 · 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{SWDNTDLJAZMF44KVS5LV5FK2CG}

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	2026-05-18T04:33:49.222511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9586d98d6906585e715597575e955a11aa9e658189ce8d984415b29a3b16efce

Aliases

arxiv: 1012.1986 · arxiv_version: 1012.1986v1 · doi: 10.48550/arxiv.1012.1986 · pith_short_12: SWDNTDLJAZMF · pith_short_16: SWDNTDLJAZMF44KV · pith_short_8: SWDNTDLJ

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/SWDNTDLJAZMF44KVS5LV5FK2CG \
  | 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: 9586d98d6906585e715597575e955a11aa9e658189ce8d984415b29a3b16efce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c128b45d630311f28e5a44674a5ce3ece5eb26faa877bc062fb6b5e9cea1d112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-09T12:05:30Z",
    "title_canon_sha256": "205f924b4e3ccbbe24f280acf853189da1829aff39b17d421b055e6653b40232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1986",
    "kind": "arxiv",
    "version": 1
  }
}