Pith Number

pith:XI67SJFL

pith:2015:XI67SJFLWDUKTHNXRJYD5TB3DN

not attested not anchored not stored refs pending

The Second Moment of Sums of Coefficients of Cusp Forms

Alexander Walker, Chan Ieong Kuan, David Lowry-Duda, Thomas A. Hulse

arxiv:1512.01299 v4 · 2015-12-04 · 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{XI67SJFLWDUKTHNXRJYD5TB3DN}

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	2026-05-18T00:45:08.522988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3df924abb0e8a99db78a703ecc3b1b4250f4931f06e41b37926eb4144ce6d3

Aliases

arxiv: 1512.01299 · arxiv_version: 1512.01299v4 · doi: 10.48550/arxiv.1512.01299 · pith_short_12: XI67SJFLWDUK · pith_short_16: XI67SJFLWDUKTHNX · pith_short_8: XI67SJFL

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/XI67SJFLWDUKTHNXRJYD5TB3DN \
  | 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: ba3df924abb0e8a99db78a703ecc3b1b4250f4931f06e41b37926eb4144ce6d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee364ad2925a467c33c799fe7006dfb39710d4d91e2d0a4edda4ee848165869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-04T01:45:07Z",
    "title_canon_sha256": "16fca0b22d9ac654fecbe4d96deeaa7054c66ae2306bb9b88af0830600985476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01299",
    "kind": "arxiv",
    "version": 4
  }
}