Pith Number

pith:CG4H3B7V

pith:2012:CG4H3B7VEVVXWOTTCMWAGRVYDQ

not attested not anchored not stored refs pending

Eichler integrals and harmonic weak Maass forms

Byungchan Kim, Dohoon Choi, Subong Lim

arxiv:1210.3783 v2 · 2012-10-14 · 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{CG4H3B7VEVVXWOTTCMWAGRVYDQ}

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	2026-05-18T03:10:48.020726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b87d87f5256b7b3a73132c0346b81c1a3dc5618fab8fc969c333ad7045e7e7

Aliases

arxiv: 1210.3783 · arxiv_version: 1210.3783v2 · doi: 10.48550/arxiv.1210.3783 · pith_short_12: CG4H3B7VEVVX · pith_short_16: CG4H3B7VEVVXWOTT · pith_short_8: CG4H3B7V

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/CG4H3B7VEVVXWOTTCMWAGRVYDQ \
  | 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: 11b87d87f5256b7b3a73132c0346b81c1a3dc5618fab8fc969c333ad7045e7e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0963f406ee9fc2f9ad018b4f171ccd2f29c2421450156ae50069a87e25dd8d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-14T11:32:13Z",
    "title_canon_sha256": "b6724d593a49c135d03f06da7c1310c86744669e554ffbad21a97edb2ad568c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3783",
    "kind": "arxiv",
    "version": 2
  }
}