Pith Number

pith:H6H5TLQA

pith:2012:H6H5TLQAAVHF6RPNQ737FHBENL

not attested not anchored not stored refs pending

On the orthogonal symmetry of $L$-functions of a family of Hecke Gr\"{o}ssencharacters

J. B. Conrey, N. C. Snaith

arxiv:1212.2681 v1 · 2012-12-12 · 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{H6H5TLQAAVHF6RPNQ737FHBENL}

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	2026-05-18T03:38:35.699629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8fd9ae00054e5f45ed87f7f29c246af2c323f7699929b7e0a08c73e65636a4

Aliases

arxiv: 1212.2681 · arxiv_version: 1212.2681v1 · doi: 10.48550/arxiv.1212.2681 · pith_short_12: H6H5TLQAAVHF · pith_short_16: H6H5TLQAAVHF6RPN · pith_short_8: H6H5TLQA

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/H6H5TLQAAVHF6RPNQ737FHBENL \
  | 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: 3f8fd9ae00054e5f45ed87f7f29c246af2c323f7699929b7e0a08c73e65636a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27aed742df4c91a12066f51757d71e157dadd13116e9bcbd79ad2c4cfba758b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-12T00:44:50Z",
    "title_canon_sha256": "92ed267b835c1ed2097558f7f76c6ffd9483a90c6bd01d5a692f78b5dd28bc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2681",
    "kind": "arxiv",
    "version": 1
  }
}