Pith Number

pith:RAM7IGQI

pith:2017:RAM7IGQIEJNSGO7AF53NDTSPZX

not attested not anchored not stored refs pending

Large odd order character sums and improvements of the P\'{o}lya-Vinogradov inequality

Alexander P. Mangerel, Youness Lamzouri

arxiv:1701.01042 v2 · 2017-01-04 · 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{RAM7IGQIEJNSGO7AF53NDTSPZX}

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	2026-05-18T00:53:16.869919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8819f41a08225b233be02f76d1ce4fcdefc439d5ffb8f0bd056e1c2dff096fff

Aliases

arxiv: 1701.01042 · arxiv_version: 1701.01042v2 · doi: 10.48550/arxiv.1701.01042 · pith_short_12: RAM7IGQIEJNS · pith_short_16: RAM7IGQIEJNSGO7A · pith_short_8: RAM7IGQI

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/RAM7IGQIEJNSGO7AF53NDTSPZX \
  | 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: 8819f41a08225b233be02f76d1ce4fcdefc439d5ffb8f0bd056e1c2dff096fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1df6750913fbaffc32368a79830520ec4409a740d6e78870e6af6e60d8c1fbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-04T15:10:56Z",
    "title_canon_sha256": "d72aeea850404a6c0f8f2dcbd608098d758b4905811f84fb01728a60d5b719d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01042",
    "kind": "arxiv",
    "version": 2
  }
}