Pith Number

pith:IIVWYDTJ

pith:2014:IIVWYDTJMTFDGL3L5XFKPEOAQ7

not attested not anchored not stored refs pending

An asymptotic expansion for the generalised quadratic Gauss sum revisited

R B Paris

arxiv:1403.7973 v1 · 2014-03-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIVWYDTJMTFDGL3L5XFKPEOAQ7}

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	2026-05-18T02:55:12.051066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422b6c0e6964ca332f6bedcaa791c087ddc7d198cd1e2342e52033d4ec5e480e

Aliases

arxiv: 1403.7973 · arxiv_version: 1403.7973v1 · doi: 10.48550/arxiv.1403.7973 · pith_short_12: IIVWYDTJMTFD · pith_short_16: IIVWYDTJMTFDGL3L · pith_short_8: IIVWYDTJ

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/IIVWYDTJMTFDGL3L5XFKPEOAQ7 \
  | 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: 422b6c0e6964ca332f6bedcaa791c087ddc7d198cd1e2342e52033d4ec5e480e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a2f3e19ef6eaa1b88a0dd914deef055ab0d33c9db9bae9f19fd6763e53f05b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-31T12:41:43Z",
    "title_canon_sha256": "9887da3932dba249e8ce99db156b68b54fdaba0b4490d9b0c1ba70159e840d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7973",
    "kind": "arxiv",
    "version": 1
  }
}