Pith Number

pith:5Z6C2SCW

pith:2018:5Z6C2SCWYX5SDAHLPKG54BP563

not attested not anchored not stored refs pending

Mock modular forms whose shadows are Eisenstein series of integral weight

Anna-Maria von Pippich, Sebasti\'an Herrero

arxiv:1809.05690 v1 · 2018-09-15 · 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{5Z6C2SCWYX5SDAHLPKG54BP563}

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	2026-05-18T00:05:40.255965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7c2d4856c5fb2180eb7a8dde05fdf6d2dc66067e622f2636a4097af61aee5d

Aliases

arxiv: 1809.05690 · arxiv_version: 1809.05690v1 · doi: 10.48550/arxiv.1809.05690 · pith_short_12: 5Z6C2SCWYX5S · pith_short_16: 5Z6C2SCWYX5SDAHL · pith_short_8: 5Z6C2SCW

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/5Z6C2SCWYX5SDAHLPKG54BP563 \
  | 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: ee7c2d4856c5fb2180eb7a8dde05fdf6d2dc66067e622f2636a4097af61aee5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a216dd83a398eb88ab0753170b94f40d49af42ab12f11b9efc27271b5e05f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-15T10:05:07Z",
    "title_canon_sha256": "2baac72248ef1ca473ead51518d7b94ec028214949188e923daf65741923d799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05690",
    "kind": "arxiv",
    "version": 1
  }
}