Pith Number

pith:OSF2YYVG

pith:2012:OSF2YYVGKTNSID5R6CUH55YCTE

not attested not anchored not stored refs pending

Generators of graded rings of modular forms

Nadim Rustom

arxiv:1209.3864 v3 · 2012-09-18 · 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{OSF2YYVGKTNSID5R6CUH55YCTE}

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	2026-05-18T01:19:39.151068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748bac62a654db240fb1f0a87ef70299163757bc146832e111c7ce5b728367f3

Aliases

arxiv: 1209.3864 · arxiv_version: 1209.3864v3 · doi: 10.48550/arxiv.1209.3864 · pith_short_12: OSF2YYVGKTNS · pith_short_16: OSF2YYVGKTNSID5R · pith_short_8: OSF2YYVG

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/OSF2YYVGKTNSID5R6CUH55YCTE \
  | 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: 748bac62a654db240fb1f0a87ef70299163757bc146832e111c7ce5b728367f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8f0dce12beed2a8427c2bc844326bd7fba38fd2ca9aacb7cc2df0aafa0b0793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-18T07:55:22Z",
    "title_canon_sha256": "4236d42b9fc4c23af81588439b186d11377bbee810b5d928ed5451699ce30270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3864",
    "kind": "arxiv",
    "version": 3
  }
}