Pith Number

pith:FTJ3UZRE

pith:2026:FTJ3UZREVGN7G3V47RW2AX5NBH

not attested not anchored not stored refs pending

Lattice point counting in Cygan--Kor\'anyi balls on Heisenberg groups

Sheng-Chen Mao, Sibei Yang

arxiv:2607.10971 v1 · 2026-07-13 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTJ3UZREVGN7G3V47RW2AX5NBH}

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	2026-07-14T01:21:50.143173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd3ba6624a99bf36ebcfc6da05fad09f82daa6ccf4049bb4604448b020860f4

Aliases

arxiv: 2607.10971 · arxiv_version: 2607.10971v1 · doi: 10.48550/arxiv.2607.10971 · pith_short_12: FTJ3UZREVGN7 · pith_short_16: FTJ3UZREVGN7G3V4 · pith_short_8: FTJ3UZRE

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/FTJ3UZREVGN7G3V47RW2AX5NBH \
  | 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: 2cd3ba6624a99bf36ebcfc6da05fad09f82daa6ccf4049bb4604448b020860f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4c2c17ca3085323d662cf4d7930efb552e6fd8a853763fb78ccfbb5f48f6a6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-13T00:35:24Z",
    "title_canon_sha256": "bf2b748ca3857b51f4ccea9c9d3c1631deba8bb011ef1169a8a8b683cd3c621a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10971",
    "kind": "arxiv",
    "version": 1
  }
}