Pith Number

pith:ABA2DXUA

pith:2012:ABA2DXUA35WZAXZF53OE6X4KLU

not attested not anchored not stored refs pending

Maass forms on GL(3) and GL(4)

David W. Farmer, Sally Koutsoliotas, Stefan Lemurell

arxiv:1212.4545 v1 · 2012-12-19 · 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{ABA2DXUA35WZAXZF53OE6X4KLU}

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	2026-05-18T03:38:12.080949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0041a1de80df6d905f25eedc4f5f8a5d20def1d0a23df52b7e5552c3ff2fb2fc

Aliases

arxiv: 1212.4545 · arxiv_version: 1212.4545v1 · doi: 10.48550/arxiv.1212.4545 · pith_short_12: ABA2DXUA35WZ · pith_short_16: ABA2DXUA35WZAXZF · pith_short_8: ABA2DXUA

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/ABA2DXUA35WZAXZF53OE6X4KLU \
  | 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: 0041a1de80df6d905f25eedc4f5f8a5d20def1d0a23df52b7e5552c3ff2fb2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e601db75e1d7733fb5adbad64bff1b0b6bce0f3aac037543aeccdbba97097644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-19T00:39:18Z",
    "title_canon_sha256": "ef4840847e12d6f3d0832d3e4bbb7ce891290e1ebd45acdf30a56751ac787122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4545",
    "kind": "arxiv",
    "version": 1
  }
}