Pith Number

pith:T2EOYFKH

pith:2018:T2EOYFKHBXGQL7YUV4WBQMIUW6

not attested not anchored not stored refs pending

Hyper-Algebras of Vector-Valued Modular Forms

Martin Raum

arxiv:1810.02048 v1 · 2018-10-04 · 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{T2EOYFKHBXGQL7YUV4WBQMIUW6}

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	2026-05-18T00:04:06.458648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e88ec15470dcd05ff14af2c183114b785d55dc4f5d314a26baa317aef3c6a3e

Aliases

arxiv: 1810.02048 · arxiv_version: 1810.02048v1 · doi: 10.48550/arxiv.1810.02048 · pith_short_12: T2EOYFKHBXGQ · pith_short_16: T2EOYFKHBXGQL7YU · pith_short_8: T2EOYFKH

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/T2EOYFKHBXGQL7YUV4WBQMIUW6 \
  | 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: 9e88ec15470dcd05ff14af2c183114b785d55dc4f5d314a26baa317aef3c6a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb4308e0a8fbc07d4a7c898606382b54b299b22efbeb73be8a64e29dfcde073",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-04T04:08:21Z",
    "title_canon_sha256": "0d528b97ff1a8f0078725e50f6c8363c83b19d366be8c2ae05621c08ed8af191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02048",
    "kind": "arxiv",
    "version": 1
  }
}