Pith Number

pith:WE4Z7WUK

pith:2025:WE4Z7WUK4UHSSSEQZTMGSEC76L

not attested not anchored not stored refs pending

Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in $\mathbb{H}^3$ as Translation Surfaces

Jo\~ao Paulo dos Santos, Tarcios Andrey Ferreira

arxiv:2511.21545 v3 · 2025-11-26 · 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{WE4Z7WUK4UHSSSEQZTMGSEC76L}

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	2026-06-19T16:10:32.721807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1399fda8ae50f294890ccd869105ff2cfa4b19cea38b920a8d0e6490e08d21e

Aliases

arxiv: 2511.21545 · arxiv_version: 2511.21545v3 · doi: 10.48550/arxiv.2511.21545 · pith_short_12: WE4Z7WUK4UHS · pith_short_16: WE4Z7WUK4UHSSSEQ · pith_short_8: WE4Z7WUK

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/WE4Z7WUK4UHSSSEQZTMGSEC76L \
  | 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: b1399fda8ae50f294890ccd869105ff2cfa4b19cea38b920a8d0e6490e08d21e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce5853b7e89ce34f21d03ba0a3cb796b6814a9cd3cbe1bfabb55c8d5ea2af1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-26T16:17:36Z",
    "title_canon_sha256": "5f935a9b3f7f2951a808da1ef1b9e6217ba4df2e89a61cf1616c85a034ecfb87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.21545",
    "kind": "arxiv",
    "version": 3
  }
}