Pith Number

pith:AMZH4FTN

pith:2026:AMZH4FTNDBMT3TFB5S7N7HGIF5

not attested not anchored not stored refs pending

$L^p$-Extremal Teichm\"uller mappings between Riemann surfaces are diffeomorphisms

Cong Yao, Gaven Martin

arxiv:2607.04051 v1 · 2026-07-04 · math.CV · 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{AMZH4FTNDBMT3TFB5S7N7HGIF5}

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	2026-07-07T02:18:55.043207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03327e166d18593dcca1ecbedf9cc82f6fde35e1f73b70e8901ddc68bf4204db

Aliases

arxiv: 2607.04051 · arxiv_version: 2607.04051v1 · doi: 10.48550/arxiv.2607.04051 · pith_short_12: AMZH4FTNDBMT · pith_short_16: AMZH4FTNDBMT3TFB · pith_short_8: AMZH4FTN

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/AMZH4FTNDBMT3TFB5S7N7HGIF5 \
  | 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: 03327e166d18593dcca1ecbedf9cc82f6fde35e1f73b70e8901ddc68bf4204db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb04fd294acba1735498dcf6bc3c169e8341c77848eca5b0ab7bff5d18206139",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-04T23:01:39Z",
    "title_canon_sha256": "e7e86c11b7de32546bc22ada2612422019fece26d0d15c77faac834d76a91c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04051",
    "kind": "arxiv",
    "version": 1
  }
}