Pith Number

pith:VUAQW7SJ

pith:2026:VUAQW7SJBUZLTCFUAL6QFDWSVF

not attested not anchored not stored refs pending

Existence of free boundary minimal disks in convex regions

Douglas Stryker, Lorenzo Sarnataro, Xin Zhou, Zhichao Wang

arxiv:2606.02396 v1 · 2026-06-01 · math.DG · math.AP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUAQW7SJBUZLTCFUAL6QFDWSVF}

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	2026-06-02T03:04:58.007523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad010b7e490d32b988b402fd028ed2a954b876257c686a441f51066d7278b710

Aliases

arxiv: 2606.02396 · arxiv_version: 2606.02396v1 · doi: 10.48550/arxiv.2606.02396 · pith_short_12: VUAQW7SJBUZL · pith_short_16: VUAQW7SJBUZLTCFU · pith_short_8: VUAQW7SJ

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/VUAQW7SJBUZLTCFUAL6QFDWSVF \
  | 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: ad010b7e490d32b988b402fd028ed2a954b876257c686a441f51066d7278b710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbef8818b5dfbaf8b586cb2161fb10ea9d559c50eb51f3affc9c730ca392911",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-01T15:43:51Z",
    "title_canon_sha256": "f4aa1fbf2ebebdc471fdceeb90a1b11d9c1a25257161a50690bce563758a0df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02396",
    "kind": "arxiv",
    "version": 1
  }
}