Pith Number

pith:PGKC2JT2

pith:2020:PGKC2JT22GC2DL36JXFNS3YSHF

not attested not anchored not stored refs pending

Eisenstein series of even weight $k \geq 2$ and integral binary quadratic forms

Andreas Mono

arxiv:2010.10974 v2 · 2020-10-21 · 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{PGKC2JT22GC2DL36JXFNS3YSHF}

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	2026-07-05T08:47:03.096838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79942d267ad185a1af7e4dcad96f123953b0f3f3460440c7a23a8c061754a2ee

Aliases

arxiv: 2010.10974 · arxiv_version: 2010.10974v2 · doi: 10.48550/arxiv.2010.10974 · pith_short_12: PGKC2JT22GC2 · pith_short_16: PGKC2JT22GC2DL36 · pith_short_8: PGKC2JT2

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/PGKC2JT22GC2DL36JXFNS3YSHF \
  | 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: 79942d267ad185a1af7e4dcad96f123953b0f3f3460440c7a23a8c061754a2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a418be4732b23236ea2717eefd25315dfe7ca71d4f502592443907222b5482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-10-21T13:05:08Z",
    "title_canon_sha256": "3c4eb36d6f0cc944b91ba6fd80f8e5c67a63c1779136554fa7aea1c1f25d44e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10974",
    "kind": "arxiv",
    "version": 2
  }
}