Pith Number

pith:QTO6E5O4

pith:2011:QTO6E5O4HOKJYSV7TQVIWHQSZT

not attested not anchored not stored refs pending

The Geometric Theta Correspondence for Hilbert Modular Surfaces

Jens Funke, John Millson

arxiv:1108.5305 v1 · 2011-08-26 · 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{QTO6E5O4HOKJYSV7TQVIWHQSZT}

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	2026-05-18T02:29:32.719976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84dde275dc3b949c4abf9c2a8b1e12ccfa1baefc87a9b8cc2800857ae9b99be2

Aliases

arxiv: 1108.5305 · arxiv_version: 1108.5305v1 · doi: 10.48550/arxiv.1108.5305 · pith_short_12: QTO6E5O4HOKJ · pith_short_16: QTO6E5O4HOKJYSV7 · pith_short_8: QTO6E5O4

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/QTO6E5O4HOKJYSV7TQVIWHQSZT \
  | 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: 84dde275dc3b949c4abf9c2a8b1e12ccfa1baefc87a9b8cc2800857ae9b99be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d690cdebf7c79127d5ecec2985de07bba9b5e631316fcaa6930ae2021bf2d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-26T14:02:35Z",
    "title_canon_sha256": "7c7ad13ffe6221ffcd1876f2454480766264329b4036bcff93df4ed72aaa7927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5305",
    "kind": "arxiv",
    "version": 1
  }
}