Pith Number

pith:LZNBSR7Y

pith:2017:LZNBSR7Y2RPGUUZ5CSSNCRFBT7

not attested not anchored not stored refs pending

A strong stability condition on minimal submanifolds and its implications

Chung-Jun Tsai, Mu-Tao Wang

arxiv:1710.00433 v2 · 2017-10-01 · 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{LZNBSR7Y2RPGUUZ5CSSNCRFBT7}

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	2026-05-17T23:58:56.220011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5a1947f8d45e6a533d14a4d144a19fcc525ccbb81eaee1d1831416874dca24

Aliases

arxiv: 1710.00433 · arxiv_version: 1710.00433v2 · doi: 10.48550/arxiv.1710.00433 · pith_short_12: LZNBSR7Y2RPG · pith_short_16: LZNBSR7Y2RPGUUZ5 · pith_short_8: LZNBSR7Y

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/LZNBSR7Y2RPGUUZ5CSSNCRFBT7 \
  | 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: 5e5a1947f8d45e6a533d14a4d144a19fcc525ccbb81eaee1d1831416874dca24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc5bb3a55ff2e0694b16938c54f0895aaa9af0b04c610add91828eae6371dc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-01T23:13:02Z",
    "title_canon_sha256": "a368c03e11bcb5b9c86b923de24ea3650f64e9f11af5282eca818733097ffabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00433",
    "kind": "arxiv",
    "version": 2
  }
}