Pith Number

pith:BRVKKCPH

pith:2026:BRVKKCPHNZWRBYI3XZABL4QMDW

not attested not anchored not stored refs pending

The Fontaine operator at cusps of modular curves at infinite level

Tian Qiu

arxiv:2606.03778 v1 · 2026-06-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRVKKCPHNZWRBYI3XZABL4QMDW}

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	2026-06-03T02:06:02.202849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6aa509e76e6d10e11bbe4015f20c1d9454ea2109b643a021536beea0e6ba06

Aliases

arxiv: 2606.03778 · arxiv_version: 2606.03778v1 · doi: 10.48550/arxiv.2606.03778 · pith_short_12: BRVKKCPHNZWR · pith_short_16: BRVKKCPHNZWRBYI3 · pith_short_8: BRVKKCPH

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/BRVKKCPHNZWRBYI3XZABL4QMDW \
  | 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: 0c6aa509e76e6d10e11bbe4015f20c1d9454ea2109b643a021536beea0e6ba06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75f865721c5504e0a949d118110f93dd076e417c8c96707e800107e83177111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-02T15:32:15Z",
    "title_canon_sha256": "9ea5d74bd7fd9318574c8acf4fe44b9a174e89b9753b3a5c0f3f928f8a96fb5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03778",
    "kind": "arxiv",
    "version": 1
  }
}