Pith Number

pith:PHW57NRO

pith:2014:PHW57NRO7IS2WUOUPPHEULQ4ME

not attested not anchored not stored refs pending

Shifted Character Sums with Multiplicative Coefficients

Chaohua Jia, Ke Gong

arxiv:1404.2204 v2 · 2014-04-08 · 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{PHW57NRO7IS2WUOUPPHEULQ4ME}

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	2026-05-18T02:48:25.775106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79eddfb62efa25ab51d47bce4a2e1c611c6c9736d6b0bfd59b84f2cf2e37ec94

Aliases

arxiv: 1404.2204 · arxiv_version: 1404.2204v2 · doi: 10.48550/arxiv.1404.2204 · pith_short_12: PHW57NRO7IS2 · pith_short_16: PHW57NRO7IS2WUOU · pith_short_8: PHW57NRO

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/PHW57NRO7IS2WUOUPPHEULQ4ME \
  | 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: 79eddfb62efa25ab51d47bce4a2e1c611c6c9736d6b0bfd59b84f2cf2e37ec94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ccadad43f3e514b1e7093ba6d97760eb8e89034dbcb11c64737f225cf010e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-08T16:45:40Z",
    "title_canon_sha256": "16c85335b674d5026c1ecddcd6f51d88ea37b725e4e61501594affdf6bab1781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2204",
    "kind": "arxiv",
    "version": 2
  }
}