Pith Number

pith:R4Y4JXRV

pith:2026:R4Y4JXRVAZEUPK2RJ6ZBCB2TKC

not attested not anchored not stored refs pending

Integrality of height-one formal groups

Martin Debaisieux

arxiv:2606.25726 v1 · 2026-06-24 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4Y4JXRVAZEUPK2RJ6ZBCB2TKC}

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	2026-06-25T01:18:13.726854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f31c4de35064947ab514fb2110753508061fe99dc85fa3044a23b315f6b59f9

Aliases

arxiv: 2606.25726 · arxiv_version: 2606.25726v1 · doi: 10.48550/arxiv.2606.25726 · pith_short_12: R4Y4JXRVAZEU · pith_short_16: R4Y4JXRVAZEUPK2R · pith_short_8: R4Y4JXRV

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/R4Y4JXRVAZEUPK2RJ6ZBCB2TKC \
  | 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: 8f31c4de35064947ab514fb2110753508061fe99dc85fa3044a23b315f6b59f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf769888d95fe557a87fbc9e93347ae2769a09862deea49d321c68db722735c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T11:46:58Z",
    "title_canon_sha256": "7d58d37b68485b74924661bc3cf66a8be4a91b8fad01fe5ca43b3dcd45380ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25726",
    "kind": "arxiv",
    "version": 1
  }
}