Pith Number

pith:IFTAD44Q

pith:2017:IFTAD44QBDL3M2W2CECFTYKE7D

not attested not anchored not stored refs pending

A reflection principle for minimal surfaces in smooth three manifolds

Eric Toubiana, Ricardo Sa Earp

arxiv:1711.00759 v2 · 2017-11-02 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFTAD44QBDL3M2W2CECFTYKE7D}

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	2026-05-17T23:55:23.165967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416601f39008d7b66ada110459e144f8cd49e1b4cb263203880ebaf4d638facb

Aliases

arxiv: 1711.00759 · arxiv_version: 1711.00759v2 · doi: 10.48550/arxiv.1711.00759 · pith_short_12: IFTAD44QBDL3 · pith_short_16: IFTAD44QBDL3M2W2 · pith_short_8: IFTAD44Q

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/IFTAD44QBDL3M2W2CECFTYKE7D \
  | 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: 416601f39008d7b66ada110459e144f8cd49e1b4cb263203880ebaf4d638facb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb04a44befcdbf69749d00d8415995908b20419d587330026903877252f107d2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-02T14:25:38Z",
    "title_canon_sha256": "49e136330783e1bb2b62acf6651edacafbcda4b6bb2b9b450c71db35a7a3b7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00759",
    "kind": "arxiv",
    "version": 2
  }
}