Pith Number

pith:M5MKMWZA

pith:2019:M5MKMWZAJGEF7KBIB3BFOONSJA

not attested not anchored not stored refs pending

All modular forms of weight 2 can be expressed by Eisenstein series

Jiacheng Xia, Martin Raum

arxiv:1908.03616 v1 · 2019-08-09 · 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{M5MKMWZAJGEF7KBIB3BFOONSJA}

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	2026-07-04T23:52:42.791457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6758a65b2049885fa8280ec25739b248209e2a2fc85d26c42a0cfa6cf7960046

Aliases

arxiv: 1908.03616 · arxiv_version: 1908.03616v1 · doi: 10.48550/arxiv.1908.03616 · pith_short_12: M5MKMWZAJGEF · pith_short_16: M5MKMWZAJGEF7KBI · pith_short_8: M5MKMWZA

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/M5MKMWZAJGEF7KBIB3BFOONSJA \
  | 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: 6758a65b2049885fa8280ec25739b248209e2a2fc85d26c42a0cfa6cf7960046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d92427ac8e3e6caade8ec0eb006e67211ea371fef81024a0e8ee0a7a697de67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-09T20:12:07Z",
    "title_canon_sha256": "1eacf234ef12820a6a236e97b185a22796f5fb2ae77fe63efa76ae1fe90f6e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03616",
    "kind": "arxiv",
    "version": 1
  }
}