Pith Number

pith:USX5FEGX

pith:2012:USX5FEGXS6NA75GDPAOOKWUXXR

not attested not anchored not stored refs pending

Exponential sums and polynomial congruences in two variables: the quasi-homogeneous case

James Wright

arxiv:1202.2686 v1 · 2012-02-13 · 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{USX5FEGXS6NA75GDPAOOKWUXXR}

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	2026-05-18T04:02:25.919226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4afd290d7979a0ff4c3781ce55a97bc4d96a6edf3691c216da757ed0923e32c

Aliases

arxiv: 1202.2686 · arxiv_version: 1202.2686v1 · doi: 10.48550/arxiv.1202.2686 · pith_short_12: USX5FEGXS6NA · pith_short_16: USX5FEGXS6NA75GD · pith_short_8: USX5FEGX

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/USX5FEGXS6NA75GDPAOOKWUXXR \
  | 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: a4afd290d7979a0ff4c3781ce55a97bc4d96a6edf3691c216da757ed0923e32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047522616ab5a8519f9d5709dc3e4a67de71c78d6f9ebab6725d11a8665cc744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-13T10:50:14Z",
    "title_canon_sha256": "7d9fdabbab698b91fad8d50c41ef9cb411bab400674e2dfc0ebf51a0a9599984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2686",
    "kind": "arxiv",
    "version": 1
  }
}