Pith Number

pith:2MPDSPZZ

pith:2014:2MPDSPZZXMDYQXKINQXM76462J

not attested not anchored not stored refs pending

Generators and relations of the graded algebra of modular forms

Nadim Rustom

arxiv:1402.0405 v1 · 2014-02-03 · 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{2MPDSPZZXMDYQXKINQXM76462J}

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	2026-05-18T01:19:39.044998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31e393f39bb07885d486c2ecffb9ed266d8c72cbee14504cf812448c9fbfdcb

Aliases

arxiv: 1402.0405 · arxiv_version: 1402.0405v1 · doi: 10.48550/arxiv.1402.0405 · pith_short_12: 2MPDSPZZXMDY · pith_short_16: 2MPDSPZZXMDYQXKI · pith_short_8: 2MPDSPZZ

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/2MPDSPZZXMDYQXKINQXM76462J \
  | 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: d31e393f39bb07885d486c2ecffb9ed266d8c72cbee14504cf812448c9fbfdcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500ede4a7607d298decf6c784fc3be40fd0aa624adc714b60900d8a0114bfaf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-03T15:48:26Z",
    "title_canon_sha256": "b5e04babcedda5651f87775c6ca9f6aa1d2b48624829d1d9cfcefa3965fb662f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0405",
    "kind": "arxiv",
    "version": 1
  }
}