Pith Number

pith:JWGBXO3U

pith:2026:JWGBXO3U3DFXZCI27A2MTNH5IH

not attested not anchored not stored refs pending

Moments and sign changes of symmetric power $L$-function coefficients over sums of squares

Arnab Mitra, Jewel Mahajan

arxiv:2606.30603 v1 · 2026-06-29 · 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{JWGBXO3U3DFXZCI27A2MTNH5IH}

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	2026-06-30T02:18:22.337395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8c1bbb74d8cb7c891af834c9b4fd41eda0ac7ca65c07e73364f80aca042503

Aliases

arxiv: 2606.30603 · arxiv_version: 2606.30603v1 · doi: 10.48550/arxiv.2606.30603 · pith_short_12: JWGBXO3U3DFX · pith_short_16: JWGBXO3U3DFXZCI2 · pith_short_8: JWGBXO3U

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/JWGBXO3U3DFXZCI27A2MTNH5IH \
  | 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: 4d8c1bbb74d8cb7c891af834c9b4fd41eda0ac7ca65c07e73364f80aca042503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6951f9ec66be8911072f9267f9bdc0f09fbf496131f384f38b4f33eed974fa0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T17:41:18Z",
    "title_canon_sha256": "dded7c2e659b2b826f058e16d2003e4d43488403334f28eae55fdb325f40c8a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30603",
    "kind": "arxiv",
    "version": 1
  }
}