Pith Number

pith:RGHGGFNG

pith:2011:RGHGGFNGXXYOBD7UKBLMY5AWGL

not attested not anchored not stored refs pending

Modular forms of orthogonal type and Jacobi theta-series

Fabien Clery, Valery Gritsenko

arxiv:1106.4733 v1 · 2011-06-23 · math.AG · 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{RGHGGFNGXXYOBD7UKBLMY5AWGL}

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	2026-05-18T04:19:23.750403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

898e6315a6bdf0e08ff45056cc741632fc2fbe93c50ba68ed8c30f4245858da7

Aliases

arxiv: 1106.4733 · arxiv_version: 1106.4733v1 · doi: 10.48550/arxiv.1106.4733 · pith_short_12: RGHGGFNGXXYO · pith_short_16: RGHGGFNGXXYOBD7U · pith_short_8: RGHGGFNG

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/RGHGGFNGXXYOBD7UKBLMY5AWGL \
  | 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: 898e6315a6bdf0e08ff45056cc741632fc2fbe93c50ba68ed8c30f4245858da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5206fa57d0e44b183bdbefd0ae6790eba83b5b6e2865cc0cb8bda3e1f8aa031d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-23T14:15:19Z",
    "title_canon_sha256": "5a9b0353c166a6997ddfe03aca19f905dc9594cd3ac6a58afed627b369fb0e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4733",
    "kind": "arxiv",
    "version": 1
  }
}