Pith Number

pith:7X23LCZF

pith:2009:7X23LCZFCGQNYEKQZ5U2WJBF5W

not attested not anchored not stored refs pending

The functional equation for the twisted spinor L-series of genus 2

Aloys Krieg, Martin Raum

arxiv:0907.2767 v2 · 2009-07-16 · 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{7X23LCZFCGQNYEKQZ5U2WJBF5W}

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	2026-05-18T04:14:53.700429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf5b58b2511a0dc1150cf69ab2425eda8163b6c8af61f766f915f3e8d046c77

Aliases

arxiv: 0907.2767 · arxiv_version: 0907.2767v2 · doi: 10.48550/arxiv.0907.2767 · pith_short_12: 7X23LCZFCGQN · pith_short_16: 7X23LCZFCGQNYEKQ · pith_short_8: 7X23LCZF

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/7X23LCZFCGQNYEKQZ5U2WJBF5W \
  | 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: fdf5b58b2511a0dc1150cf69ab2425eda8163b6c8af61f766f915f3e8d046c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b395a025a16427eb1b4d1598b623eb12c18bd2c7b051725786afc0ee7e9654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-16T07:51:33Z",
    "title_canon_sha256": "cbc7ecb7c973960cb0b135c83046064626a8349643508e19a88eb7eb1c663695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2767",
    "kind": "arxiv",
    "version": 2
  }
}