Pith Number

pith:2WQ4YEV3

pith:2025:2WQ4YEV3PXMCXTWATBK22SWCYH

not attested not anchored not stored refs pending

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$

Daniel Stern, Mikhail Karpukhin, Peter McGrath

arxiv:2502.10225 v1 · 2025-02-14 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WQ4YEV3PXMCXTWATBK22SWCYH}

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	2026-07-05T10:14:30.220945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a1cc12bb7dd82bcec09855ad4ac2c1c06ccf9c68b729936a285c47058cc23d

Aliases

arxiv: 2502.10225 · arxiv_version: 2502.10225v1 · doi: 10.48550/arxiv.2502.10225 · pith_short_12: 2WQ4YEV3PXMC · pith_short_16: 2WQ4YEV3PXMCXTWA · pith_short_8: 2WQ4YEV3

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/2WQ4YEV3PXMCXTWATBK22SWCYH \
  | 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: d5a1cc12bb7dd82bcec09855ad4ac2c1c06ccf9c68b729936a285c47058cc23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bddebd1e0b413851a6a964dcc4da6e4221f7092e721fe709776c4a3e674a66",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-14T15:19:29Z",
    "title_canon_sha256": "13000b8823eed0e3e2221789aed958e37b272fd7d8d5dfa773acd34054d555fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10225",
    "kind": "arxiv",
    "version": 1
  }
}