Pith Number

pith:MZPA732G

pith:2017:MZPA732GSA6JPK2VYMZR22RBRK

not attested not anchored not stored refs pending

Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$

Zhichao Wang

arxiv:1709.03672 v1 · 2017-09-12 · math.DG · 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{MZPA732GSA6JPK2VYMZR22RBRK}

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	2026-05-18T00:35:29.852016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665e0fef46903c97ab55c3331d6a218ab00da53de1c832dfdf81dad952be6581

Aliases

arxiv: 1709.03672 · arxiv_version: 1709.03672v1 · doi: 10.48550/arxiv.1709.03672 · pith_short_12: MZPA732GSA6J · pith_short_16: MZPA732GSA6JPK2V · pith_short_8: MZPA732G

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/MZPA732GSA6JPK2VYMZR22RBRK \
  | 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: 665e0fef46903c97ab55c3331d6a218ab00da53de1c832dfdf81dad952be6581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82465834baa39c879339dadeb6a6f92c14d7de2ae3a5718fda2832ba9e41abd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-12T03:12:34Z",
    "title_canon_sha256": "b8bf0b20f69dcdf33c0d05b514a263bb6fac9faa8fb4013ff0c7552f8c38ac13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03672",
    "kind": "arxiv",
    "version": 1
  }
}