Pith Number

pith:I33IHINI

pith:2017:I33IHINISYCVEFX2K7V27KEP6A

not attested not anchored not stored refs pending

Asymptotics and formulas for cubic exponential sums

Ghaith A. Hiary

arxiv:1707.03448 v1 · 2017-07-11 · 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{I33IHINISYCVEFX2K7V27KEP6A}

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	2026-05-18T00:40:25.982724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f683a1a896055216fa57ebafa88ff00dbe3b70803c019d8f748aaf1971b2a6

Aliases

arxiv: 1707.03448 · arxiv_version: 1707.03448v1 · doi: 10.48550/arxiv.1707.03448 · pith_short_12: I33IHINISYCV · pith_short_16: I33IHINISYCVEFX2 · pith_short_8: I33IHINI

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/I33IHINISYCVEFX2K7V27KEP6A \
  | 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: 46f683a1a896055216fa57ebafa88ff00dbe3b70803c019d8f748aaf1971b2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9743504acb2d9afd4e1fc2269d1aa90b5d7d56b8164849ba2956c589d1ce9960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-11T19:59:20Z",
    "title_canon_sha256": "a2358c8447c0d3eba24b4be9eeb794281e716bd20cb0f283f29b70f6e7a45c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03448",
    "kind": "arxiv",
    "version": 1
  }
}