Pith Number

pith:FZPD5TEH

pith:2014:FZPD5TEHADYJRVDQWE5NSBKSCX

not attested not anchored not stored refs pending

Character sums of composite moduli and hybrid subconvexity

Ritabrata Munshi, Roman Holowinsky, Zhi Qi

arxiv:1409.3797 v1 · 2014-09-12 · 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{FZPD5TEHADYJRVDQWE5NSBKSCX}

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	2026-05-18T02:42:54.664496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5e3ecc8700f098d470b13ad9055215ead7bbd2ae87d50a60fd5ab21f5da933

Aliases

arxiv: 1409.3797 · arxiv_version: 1409.3797v1 · doi: 10.48550/arxiv.1409.3797 · pith_short_12: FZPD5TEHADYJ · pith_short_16: FZPD5TEHADYJRVDQ · pith_short_8: FZPD5TEH

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/FZPD5TEHADYJRVDQWE5NSBKSCX \
  | 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: 2e5e3ecc8700f098d470b13ad9055215ead7bbd2ae87d50a60fd5ab21f5da933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671247450b313841f9a59e13b61948dea708d7c10cd04a88d42c1ddb77d4282f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-12T17:18:34Z",
    "title_canon_sha256": "30590f66d39310c1a78f589c0943fa4d0029253fdf23d59f06e1169ae7f12805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3797",
    "kind": "arxiv",
    "version": 1
  }
}