Pith Number

pith:MNZKW3GM

pith:2017:MNZKW3GMX47DTJ3IDWMZIHNZPW

not attested not anchored not stored refs pending

Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products

Anna-Maria von Pippich, Fabian V\"olz, Markus Schwagenscheidt

arxiv:1702.06507 v1 · 2017-02-21 · 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{MNZKW3GMX47DTJ3IDWMZIHNZPW}

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	2026-05-18T00:50:13.970618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6372ab6cccbf3e39a7681d99941db97db512a662be75f86d1d6d8c94e7cb7f60

Aliases

arxiv: 1702.06507 · arxiv_version: 1702.06507v1 · doi: 10.48550/arxiv.1702.06507 · pith_short_12: MNZKW3GMX47D · pith_short_16: MNZKW3GMX47DTJ3I · pith_short_8: MNZKW3GM

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/MNZKW3GMX47DTJ3IDWMZIHNZPW \
  | 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: 6372ab6cccbf3e39a7681d99941db97db512a662be75f86d1d6d8c94e7cb7f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9de4b78cc93a51d9ef84a53aa89f6cb3044c61bfad0db057a965f687d1e15f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-21T18:20:31Z",
    "title_canon_sha256": "5bd0c6ebfa6b7d238794f4100f695ec9f5b0eed586efe9e04784e54e6a62f00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06507",
    "kind": "arxiv",
    "version": 1
  }
}