Pith Number

pith:KHJLG7MK

pith:2012:KHJLG7MKCK4RNCIQWTDBZUR27U

not attested not anchored not stored refs pending

Euclidean minimal tori with planar ends and elliptic solitons

Christoph Bohle, Iskander A. Taimanov

arxiv:1212.5138 v1 · 2012-12-20 · 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{KHJLG7MKCK4RNCIQWTDBZUR27U}

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	2026-05-18T02:35:52.592690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d2b37d8a12b9168910b4c61cd23afd22dddf0b349eb35296c3d2e437acdb9e

Aliases

arxiv: 1212.5138 · arxiv_version: 1212.5138v1 · doi: 10.48550/arxiv.1212.5138 · pith_short_12: KHJLG7MKCK4R · pith_short_16: KHJLG7MKCK4RNCIQ · pith_short_8: KHJLG7MK

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/KHJLG7MKCK4RNCIQWTDBZUR27U \
  | 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: 51d2b37d8a12b9168910b4c61cd23afd22dddf0b349eb35296c3d2e437acdb9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa850b206e7b602dfdf56a5df41b747d07774d4a8782111728e2e0e6583dbf16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-20T16:56:13Z",
    "title_canon_sha256": "5ff96d2b40ae98d72e3c27f6370e3a3a393c0db1f8e2448c75ba223f61a955d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5138",
    "kind": "arxiv",
    "version": 1
  }
}