Pith Number

pith:LRV3HBT4

pith:2026:LRV3HBT4GDRRT5KL4UN36KHLA4

not attested not anchored not stored refs pending

On Brezis Open Problem 3.1

Fanghua Lin, Juncheng Wei, Qi Guo, Xueping Huang, Yi C. Huang

arxiv:2606.08648 v1 · 2026-06-07 · math.AP · 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{LRV3HBT4GDRRT5KL4UN36KHLA4}

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	2026-06-09T01:05:42.655088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6bb3867c30e319f54be51bbf28eb0735e40ee3a3061bb32d2fd9bcfba8d585

Aliases

arxiv: 2606.08648 · arxiv_version: 2606.08648v1 · doi: 10.48550/arxiv.2606.08648 · pith_short_12: LRV3HBT4GDRR · pith_short_16: LRV3HBT4GDRRT5KL · pith_short_8: LRV3HBT4

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/LRV3HBT4GDRRT5KL4UN36KHLA4 \
  | 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: 5c6bb3867c30e319f54be51bbf28eb0735e40ee3a3061bb32d2fd9bcfba8d585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e6bad0b09b14a613d275ee6e4dbba998f20ec5e2f591483568f29d0e28458f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-07T14:25:18Z",
    "title_canon_sha256": "972a095a570af42aa4a4d5aee1e93eda79ab195cdb24e27d3cd0000255043968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08648",
    "kind": "arxiv",
    "version": 1
  }
}