Pith Number

pith:ECGLAZ7E

pith:2015:ECGLAZ7EXW5T6AH2P3UH4FOSWO

not attested not anchored not stored refs pending

Shifted moments of L functions and moments of theta functions

Marc Munsch

arxiv:1512.00918 v2 · 2015-12-03 · 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{ECGLAZ7EXW5T6AH2P3UH4FOSWO}

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	2026-05-17T23:53:13.494665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208cb067e4bdbb3f00fa7ee87e15d2b3b3c960892d46c188151caf35fb2c11a3

Aliases

arxiv: 1512.00918 · arxiv_version: 1512.00918v2 · doi: 10.48550/arxiv.1512.00918 · pith_short_12: ECGLAZ7EXW5T · pith_short_16: ECGLAZ7EXW5T6AH2 · pith_short_8: ECGLAZ7E

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/ECGLAZ7EXW5T6AH2P3UH4FOSWO \
  | 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: 208cb067e4bdbb3f00fa7ee87e15d2b3b3c960892d46c188151caf35fb2c11a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8f1f5eeb51880cdc73fe9ee605751519faa039ad3a5795d5116b36a9f967b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-03T01:14:17Z",
    "title_canon_sha256": "2036e1e33d885aae0b15974e0570ed576fcd32c2eee093b736548cea69a03121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00918",
    "kind": "arxiv",
    "version": 2
  }
}