Pith Number

pith:G4KDZGYC

pith:2026:G4KDZGYCYMVQMYXT4EC2NCUL6U

not attested not anchored not stored refs pending

A Local Minimizing Property of Strictly Stable Free Boundary Minimal Hypersurfaces

Hangyue Zhu, Xiaoxiang Jiao

arxiv:2605.25585 v1 · 2026-05-25 · 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{G4KDZGYCYMVQMYXT4EC2NCUL6U}

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	2026-05-26T02:04:44.312657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37143c9b02c32b0662f3e105a68a8bf509735308b45a78ebcfa7dcd904a85445

Aliases

arxiv: 2605.25585 · arxiv_version: 2605.25585v1 · doi: 10.48550/arxiv.2605.25585 · pith_short_12: G4KDZGYCYMVQ · pith_short_16: G4KDZGYCYMVQMYXT · pith_short_8: G4KDZGYC

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/G4KDZGYCYMVQMYXT4EC2NCUL6U \
  | 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: 37143c9b02c32b0662f3e105a68a8bf509735308b45a78ebcfa7dcd904a85445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebca1241d6d17c9d35495710a1f1af1aebb8d4c7d5a393ae1099e8e5d0b9c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-25T08:34:58Z",
    "title_canon_sha256": "cd2ff0fde64d168ff667f0a56deaef3204de9cfac2c51e0851a015114d528a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25585",
    "kind": "arxiv",
    "version": 1
  }
}