Pith Number

pith:3UU773T6

pith:2017:3UU773T6MCF4A4I4KFBUDJ3I5B

not attested not anchored not stored refs pending

Stratification for multiplicative character sums

Junyan Xu

arxiv:1709.01663 v1 · 2017-09-06 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UU773T6MCF4A4I4KFBUDJ3I5B}

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	2026-05-18T00:35:54.656649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd29ffee7e608bc0711c514341a768e85709d86ba94ef0502495ab7b00d8af18

Aliases

arxiv: 1709.01663 · arxiv_version: 1709.01663v1 · doi: 10.48550/arxiv.1709.01663 · pith_short_12: 3UU773T6MCF4 · pith_short_16: 3UU773T6MCF4A4I4 · pith_short_8: 3UU773T6

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/3UU773T6MCF4A4I4KFBUDJ3I5B \
  | 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: dd29ffee7e608bc0711c514341a768e85709d86ba94ef0502495ab7b00d8af18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3d3168940f84f9c2c09a14b620f334e8343082da243da5b5a0d2c9f9de1c13",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-06T03:33:02Z",
    "title_canon_sha256": "4500f9e1730cad6c1ac2b8609c589198c837a3e809f84e040801b088f6692c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01663",
    "kind": "arxiv",
    "version": 1
  }
}