Pith Number

pith:X6W3TU5T

pith:2026:X6W3TU5TAAW3Q76TWRRA4UZHW5

not attested not anchored not stored refs pending

Minimal surfaces with rapid area growth

Francisco Mart\'in, Tobias Holck Colding, William P. Minicozzi II

arxiv:2605.28504 v1 · 2026-05-27 · 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{X6W3TU5TAAW3Q76TWRRA4UZHW5}

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	2026-05-28T02:04:54.824251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfadb9d3b3002db87fd3b4620e5327b761e054d797271c4eba9541509ccfccf4

Aliases

arxiv: 2605.28504 · arxiv_version: 2605.28504v1 · doi: 10.48550/arxiv.2605.28504 · pith_short_12: X6W3TU5TAAW3 · pith_short_16: X6W3TU5TAAW3Q76T · pith_short_8: X6W3TU5T

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/X6W3TU5TAAW3Q76TWRRA4UZHW5 \
  | 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: bfadb9d3b3002db87fd3b4620e5327b761e054d797271c4eba9541509ccfccf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a857317a8a4329857a8c38a876ea3fbe11dacb18651a863e6115c42df03f32c1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-27T14:06:10Z",
    "title_canon_sha256": "75eae64f62257c023e1cc8e9d1090f793232f0e920efc2c7f59f34b24cdd6853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28504",
    "kind": "arxiv",
    "version": 1
  }
}