Pith Number

pith:R2RGIZMV

pith:2008:R2RGIZMVZJNVX5ZVBGBUTOM6O2

not attested not anchored not stored refs pending

Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms

Robert S. Maier

arxiv:0807.1081 v5 · 2008-07-07 · math.NT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2RGIZMVZJNVX5ZVBGBUTOM6O2}

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	2026-05-18T02:58:22.352750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea2646595ca5b5bf735098349b99e76bc4c5b854984f73d10b0737c16c4dcd8

Aliases

arxiv: 0807.1081 · arxiv_version: 0807.1081v5 · doi: 10.48550/arxiv.0807.1081 · pith_short_12: R2RGIZMVZJNV · pith_short_16: R2RGIZMVZJNVX5ZV · pith_short_8: R2RGIZMV

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/R2RGIZMVZJNVX5ZVBGBUTOM6O2 \
  | 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: 8ea2646595ca5b5bf735098349b99e76bc4c5b854984f73d10b0737c16c4dcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4450b008900cf8ad8a48e1991e19cd8897cd1ef220a3b69dbf78c56d73fa35cc",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-07-07T18:12:03Z",
    "title_canon_sha256": "8b1376d6dda9dc0a618d45b7fe2aafbf50a73067dbece32de63064c289b772cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1081",
    "kind": "arxiv",
    "version": 5
  }
}