Pith Number

pith:GFUVTTGH

pith:2011:GFUVTTGHD6SCDZKR5GJM7Z7X4Q

not attested not anchored not stored refs pending

Special values of anticyclcotomic Rankin-Selberg L-functions

Ming-Lun Hsieh

arxiv:1112.1580 v3 · 2011-12-07 · 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{GFUVTTGHD6SCDZKR5GJM7Z7X4Q}

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	2026-05-18T03:48:13.615582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316959ccc71fa421e551e992cfe7f7e42a2e5b8413bcfea61196b16691156947

Aliases

arxiv: 1112.1580 · arxiv_version: 1112.1580v3 · doi: 10.48550/arxiv.1112.1580 · pith_short_12: GFUVTTGHD6SC · pith_short_16: GFUVTTGHD6SCDZKR · pith_short_8: GFUVTTGH

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/GFUVTTGHD6SCDZKR5GJM7Z7X4Q \
  | 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: 316959ccc71fa421e551e992cfe7f7e42a2e5b8413bcfea61196b16691156947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b7244f9d9c91fa06ac18feb69cc8dd9bdb8d5f14f1391770faec2bfd4c9e39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-07T14:43:54Z",
    "title_canon_sha256": "e25797a460f40d9bd1d2cd7b5be5557d76fad42e2232dd5e647a49ef040db895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1580",
    "kind": "arxiv",
    "version": 3
  }
}