Pith Number

pith:TO3GMDL3

pith:2018:TO3GMDL3Y6STJ7DOFMMP5PTNOP

not attested not anchored not stored refs pending

Uniqueness of minimal surfaces, Jacobi fields, and flat structures

Hojoo Lee

arxiv:1812.01401 v3 · 2018-12-04 · 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{TO3GMDL3Y6STJ7DOFMMP5PTNOP}

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	2026-05-17T23:44:37.874205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb6660d7bc7a534fc6e2b18febe6d73d7057de3203873e673f90309e689a670

Aliases

arxiv: 1812.01401 · arxiv_version: 1812.01401v3 · doi: 10.48550/arxiv.1812.01401 · pith_short_12: TO3GMDL3Y6ST · pith_short_16: TO3GMDL3Y6STJ7DO · pith_short_8: TO3GMDL3

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/TO3GMDL3Y6STJ7DOFMMP5PTNOP \
  | 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: 9bb6660d7bc7a534fc6e2b18febe6d73d7057de3203873e673f90309e689a670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f7305c5548f5ca796b1eb84e3579abb51e65e31a298fc66bad3af357f0482b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-04T13:28:59Z",
    "title_canon_sha256": "2a3382065e8f8794c1dd4942975eb0d4c2cf4cbb4d9dfbfcef383843b7e9829c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01401",
    "kind": "arxiv",
    "version": 3
  }
}