Pith Number

pith:ZQHSFDT4

pith:2006:ZQHSFDT4ZNI7L5EEL43CGTYGRO

not attested not anchored not stored refs pending

Sums of arithmetic functions over values of binary forms

R. de la Breteche, T.D. Browning

arxiv:math/0604119 v1 · 2006-04-05 · 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{ZQHSFDT4ZNI7L5EEL43CGTYGRO}

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	2026-05-18T01:38:24.245176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0f228e7ccb51f5f4845f36234f068b96c745a2ec8cbf2b7d2e1660011326b1

Aliases

arxiv: math/0604119 · arxiv_version: math/0604119v1 · doi: 10.48550/arxiv.math/0604119 · pith_short_12: ZQHSFDT4ZNI7 · pith_short_16: ZQHSFDT4ZNI7L5EE · pith_short_8: ZQHSFDT4

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/ZQHSFDT4ZNI7L5EEL43CGTYGRO \
  | 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: cc0f228e7ccb51f5f4845f36234f068b96c745a2ec8cbf2b7d2e1660011326b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f024ff7ebd0057a4cf344442885f4cdc216b2223a32ee07ec9f14701876d9a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-04-05T22:22:52Z",
    "title_canon_sha256": "e36f7c9f76e6838fd3cc80cbc9d7e241368904ca966e9cedd6258b7c3ba79e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604119",
    "kind": "arxiv",
    "version": 1
  }
}