Pith Number

pith:NSV2FFUK

pith:2020:NSV2FFUKVZV3LB6SNUUNYACVW7

not attested not anchored not stored refs pending

Existence of infinitely many free boundary minimal hypersurfaces

Zhichao Wang

arxiv:2001.04674 v3 · 2020-01-14 · math.DG · math.AP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSV2FFUKVZV3LB6SNUUNYACVW7}

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	2026-07-05T03:17:11.955674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6caba2968aae6bb587d26d28dc0055b7d488bcc91141eac946d36a38084c7e15

Aliases

arxiv: 2001.04674 · arxiv_version: 2001.04674v3 · doi: 10.48550/arxiv.2001.04674 · pith_short_12: NSV2FFUKVZV3 · pith_short_16: NSV2FFUKVZV3LB6S · pith_short_8: NSV2FFUK

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/NSV2FFUKVZV3LB6SNUUNYACVW7 \
  | 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: 6caba2968aae6bb587d26d28dc0055b7d488bcc91141eac946d36a38084c7e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4018c929f02075e6254e406c3ca07411e38efe92076743ae88c2e4739c44e4",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-01-14T09:13:07Z",
    "title_canon_sha256": "5d06200d1c17cdf2c8c4cb934969577479f0765c5a8c55679ddc71982f4e8d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04674",
    "kind": "arxiv",
    "version": 3
  }
}