Pith Number

pith:RY4P3A5W

pith:2010:RY4P3A5WHYGZB53MYYRIH7TSDJ

not attested not anchored not stored refs pending

Irreducible vector-valued modular forms of dimension less than six

Christopher Marks

arxiv:1004.3019 v2 · 2010-04-18 · math.NT · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY4P3A5WHYGZB53MYYRIH7TSDJ}

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	2026-05-18T04:03:54.752164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e38fd83b63e0d90f76cc62283fe721a5ca4f36f11d87ab336459c179457aaa0

Aliases

arxiv: 1004.3019 · arxiv_version: 1004.3019v2 · doi: 10.48550/arxiv.1004.3019 · pith_short_12: RY4P3A5WHYGZ · pith_short_16: RY4P3A5WHYGZB53M · pith_short_8: RY4P3A5W

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/RY4P3A5WHYGZB53MYYRIH7TSDJ \
  | 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: 8e38fd83b63e0d90f76cc62283fe721a5ca4f36f11d87ab336459c179457aaa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f446af1cb83b04c56916f358bdf9d78df0b31802c02b12c78c2329f1d48962",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-18T13:08:05Z",
    "title_canon_sha256": "44f32e99ec4e45bcfc32464ac8436cc1a88f93eb7374185278f450270f404bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3019",
    "kind": "arxiv",
    "version": 2
  }
}