Pith Number

pith:WYXJX6NO

pith:2009:WYXJX6NO6I32X7AJ4B4DM4RM3M

not attested not anchored not stored refs pending

Toroidal automorphic forms, Waldspurger periods and double Dirichlet series

Gunther Cornelissen, Oliver Lorscheid

arxiv:0906.5284 v2 · 2009-06-29 · 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{WYXJX6NO6I32X7AJ4B4DM4RM3M}

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	2026-05-18T04:15:28.642055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b62e9bf9aef237abfc09e07836722cdb177695aa208e31c2e46922c89046a54b

Aliases

arxiv: 0906.5284 · arxiv_version: 0906.5284v2 · doi: 10.48550/arxiv.0906.5284 · pith_short_12: WYXJX6NO6I32 · pith_short_16: WYXJX6NO6I32X7AJ · pith_short_8: WYXJX6NO

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/WYXJX6NO6I32X7AJ4B4DM4RM3M \
  | 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: b62e9bf9aef237abfc09e07836722cdb177695aa208e31c2e46922c89046a54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d11395d2cd8d0b805414a6b2405e6a6f2ef8c090779c74b8b2c3b4daae0f27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-29T14:54:34Z",
    "title_canon_sha256": "c78978d7583b7c57cd6a63a285a890b016f722361e0d6910f5ca64551d788d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5284",
    "kind": "arxiv",
    "version": 2
  }
}