Pith Number

pith:44N6J2DP

pith:2016:44N6J2DP22TYDO2GS2CLXDHVNM

not attested not anchored not stored refs pending

First stability eigenvalue of singular minimal hypersurfaces in spheres

Jonathan J. Zhu

arxiv:1610.04816 v2 · 2016-10-16 · 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{44N6J2DP22TYDO2GS2CLXDHVNM}

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	2026-05-18T00:55:57.491247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71be4e86fd6a781bb469684bb8cf56b294d614d065514f23ed3bd202d829004

Aliases

arxiv: 1610.04816 · arxiv_version: 1610.04816v2 · doi: 10.48550/arxiv.1610.04816 · pith_short_12: 44N6J2DP22TY · pith_short_16: 44N6J2DP22TYDO2G · pith_short_8: 44N6J2DP

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/44N6J2DP22TYDO2GS2CLXDHVNM \
  | 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: e71be4e86fd6a781bb469684bb8cf56b294d614d065514f23ed3bd202d829004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a003fb032887220000a4e1e17ba119704eb97b9fb3ce9df3a94c9526b270c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-16T03:48:44Z",
    "title_canon_sha256": "29574f2f2d15036205b245cf93500a9670d906465d990cdbad7cb26ab0148963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04816",
    "kind": "arxiv",
    "version": 2
  }
}