Pith Number

pith:FCDWNAY3

pith:2017:FCDWNAY32WMYRY5GEZ6I2AVWOW

not attested not anchored not stored refs pending

Min-max theory for constant mean curvature hypersurfaces

Jonathan J. Zhu, Xin Zhou

arxiv:1707.08012 v2 · 2017-07-25 · 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{FCDWNAY32WMYRY5GEZ6I2AVWOW}

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	2026-05-18T00:38:12.622295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288766831bd59988e3a6267c8d02b6759dfc40a98fb5ddd32ca8c74c92229a35

Aliases

arxiv: 1707.08012 · arxiv_version: 1707.08012v2 · doi: 10.48550/arxiv.1707.08012 · pith_short_12: FCDWNAY32WMY · pith_short_16: FCDWNAY32WMYRY5G · pith_short_8: FCDWNAY3

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/FCDWNAY32WMYRY5GEZ6I2AVWOW \
  | 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: 288766831bd59988e3a6267c8d02b6759dfc40a98fb5ddd32ca8c74c92229a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0965f4e6b5b1f2c0ca6a8ed3d017afae8efa028beb2c71356f83c7a1f0a4e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-25T14:23:46Z",
    "title_canon_sha256": "5a3734a6882908855dbfaa5e9966be55e8342b92fda328aff689f7cbcdc7bc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08012",
    "kind": "arxiv",
    "version": 2
  }
}