Pith Number

pith:2N3GC3FW

pith:2026:2N3GC3FWFOR6XQO4RICM2VGKRS

not attested not anchored not stored refs pending

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

Alexander Pigazzini

arxiv:2607.23534 v1 · 2026-07-26 · 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{2N3GC3FWFOR6XQO4RICM2VGKRS}

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	2026-07-28T01:22:58.062314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d376616cb62ba3ebc1dc8a04cd54ca8ca0141b721578a08ec8098fd9d76244f1

Aliases

arxiv: 2607.23534 · arxiv_version: 2607.23534v1 · doi: 10.48550/arxiv.2607.23534 · pith_short_12: 2N3GC3FWFOR6 · pith_short_16: 2N3GC3FWFOR6XQO4 · pith_short_8: 2N3GC3FW

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/2N3GC3FWFOR6XQO4RICM2VGKRS \
  | 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: d376616cb62ba3ebc1dc8a04cd54ca8ca0141b721578a08ec8098fd9d76244f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e621d6b0a0c2c4378a6227309eeab53a3badb2f0e39278ccab8955ae3680e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-26T08:05:08Z",
    "title_canon_sha256": "640ae994bd4d87ed98f53938dd828d74132c6b6e9a474f6506b84c09f82a234b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23534",
    "kind": "arxiv",
    "version": 1
  }
}