Pith Number

pith:YPW37BC5

pith:2026:YPW37BC5NHLCXFSFEWBQWUQ7DP

not attested not anchored not stored refs pending

A Bernstein Theorem for the Self-Shrinking $J$-Equation and Some Generalizations

Wenlong Wang, Yiyang Pan

arxiv:2606.29546 v1 · 2026-06-28 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPW37BC5NHLCXFSFEWBQWUQ7DP}

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	2026-06-30T01:18:11.292577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3edbf845d69d62b964525830b521f1bc5d32519042403fd23812b9e54f5c84e

Aliases

arxiv: 2606.29546 · arxiv_version: 2606.29546v1 · doi: 10.48550/arxiv.2606.29546 · pith_short_12: YPW37BC5NHLC · pith_short_16: YPW37BC5NHLCXFSF · pith_short_8: YPW37BC5

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/YPW37BC5NHLCXFSFEWBQWUQ7DP \
  | 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: c3edbf845d69d62b964525830b521f1bc5d32519042403fd23812b9e54f5c84e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05acf692c784dc996a25d13756811123bb953eb73f9c6d802d3a1ee17ec98f15",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-28T18:17:43Z",
    "title_canon_sha256": "6fec4f6450293052502567d2c5bd7a543f724997a4c73d764b343b491f40be49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29546",
    "kind": "arxiv",
    "version": 1
  }
}