Pith Number

pith:FREKQGYI

pith:2012:FREKQGYI2OXI7YRWYM6QITJS4U

not attested not anchored not stored refs pending

Lower order terms for the moments of symplectic and orthogonal families of $L$-functions

Duc Khiem Huynh, Ian P. Goulden, Michael O. Rubinstein, Rishikesh

arxiv:1203.4647 v3 · 2012-03-21 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FREKQGYI2OXI7YRWYM6QITJS4U}

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	2026-05-18T03:53:31.439743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c48a81b08d3ae8fe236c33d044d32e52303a2737fd2dc8092b77ddce8021fe2

Aliases

arxiv: 1203.4647 · arxiv_version: 1203.4647v3 · doi: 10.48550/arxiv.1203.4647 · pith_short_12: FREKQGYI2OXI · pith_short_16: FREKQGYI2OXI7YRW · pith_short_8: FREKQGYI

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/FREKQGYI2OXI7YRWYM6QITJS4U \
  | 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: 2c48a81b08d3ae8fe236c33d044d32e52303a2737fd2dc8092b77ddce8021fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70bd3c72ebdd1f9650d2495da8d6de4cdadb4dbbeeaa33bd4f7408ba27d38329",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-21T03:55:52Z",
    "title_canon_sha256": "10a74a6708af9b96f2d84a162faf23065cb77b342c58a8201943c23ab54e02c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4647",
    "kind": "arxiv",
    "version": 3
  }
}