Pith Number

pith:GNMTWPER

pith:2026:GNMTWPERPUGVN5LIVXWRL2QVH3

not attested not anchored not stored refs pending

Elements in $K_4$ and regulator maps of Fermat curves

David T.-B. G. Lilienfeldt, Fran\c{c}ois Brunault, Yusuke Nemoto

arxiv:2606.24532 v1 · 2026-06-23 · math.NT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNMTWPERPUGVN5LIVXWRL2QVH3}

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	2026-06-24T01:15:33.179522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33593b3c917d0d56f568aded15ea153ee9da3116817650e81156ae19b0560bd2

Aliases

arxiv: 2606.24532 · arxiv_version: 2606.24532v1 · doi: 10.48550/arxiv.2606.24532 · pith_short_12: GNMTWPERPUGV · pith_short_16: GNMTWPERPUGVN5LI · pith_short_8: GNMTWPER

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/GNMTWPERPUGVN5LIVXWRL2QVH3 \
  | 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: 33593b3c917d0d56f568aded15ea153ee9da3116817650e81156ae19b0560bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82852a75cd1b675ed9c58ff9bfd66dbbee61e6e8abd52ef32f9e741c7b61dfbd",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T13:01:58Z",
    "title_canon_sha256": "6e2e94daf431a9d2a7d1c2685338abb3fecbab40f7f287b630d6dd654ca1d46c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24532",
    "kind": "arxiv",
    "version": 1
  }
}