Pith Number

pith:CHDUKOCJ

pith:2015:CHDUKOCJGKLU4JSEGPQUGCALJW

not attested not anchored not stored refs pending

Large values of $L(1,\chi)$ for $k$-th order characters $\chi$ and applications to character sums

Youness Lamzouri

arxiv:1503.07196 v1 · 2015-03-24 · 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{CHDUKOCJGKLU4JSEGPQUGCALJW}

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	2026-05-17T23:53:13.891090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c745384932974e264433e143080b4d8bfbc4673f71e9db252081fdc0bddec0

Aliases

arxiv: 1503.07196 · arxiv_version: 1503.07196v1 · doi: 10.48550/arxiv.1503.07196 · pith_short_12: CHDUKOCJGKLU · pith_short_16: CHDUKOCJGKLU4JSE · pith_short_8: CHDUKOCJ

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/CHDUKOCJGKLU4JSEGPQUGCALJW \
  | 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: 11c745384932974e264433e143080b4d8bfbc4673f71e9db252081fdc0bddec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a3d37bebce1e783358c24fecd2af59a8ee6db0b5770b4d44cc72d329042773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-24T20:47:23Z",
    "title_canon_sha256": "0d3575c5549fd05b914e645b2d4c9d0ab50c51115ccebfd7722e0b711d9648bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07196",
    "kind": "arxiv",
    "version": 1
  }
}