Pith Number

pith:SS7P5JS7

pith:2014:SS7P5JS7FV4J7SX3YKXTKAKGMG

not attested not anchored not stored refs pending

Regularized inner products of meromorphic modular forms and higher Green's functions

Anna-Maria von Pippich, Ben Kane, Kathrin Bringmann

arxiv:1409.0793 v4 · 2014-09-02 · 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{SS7P5JS7FV4J7SX3YKXTKAKGMG}

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	2026-05-18T00:14:23.339235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94befea65f2d789fcafbc2af35014661a904a8cf8a0b2b52163d5e254acc1c97

Aliases

arxiv: 1409.0793 · arxiv_version: 1409.0793v4 · doi: 10.48550/arxiv.1409.0793 · pith_short_12: SS7P5JS7FV4J · pith_short_16: SS7P5JS7FV4J7SX3 · pith_short_8: SS7P5JS7

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/SS7P5JS7FV4J7SX3YKXTKAKGMG \
  | 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: 94befea65f2d789fcafbc2af35014661a904a8cf8a0b2b52163d5e254acc1c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1362555446627ab52ee5f01fbc5265740657148f990792cf49f735be6b04fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-02T17:02:19Z",
    "title_canon_sha256": "8a7290cc04e4ac9a435bd39d264fcc39b35ffc2a4f4a6bcabe46f556e100a620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0793",
    "kind": "arxiv",
    "version": 4
  }
}