Pith Number

pith:F3NORSXY

pith:2013:F3NORSXYPYYTLTENFZBI6NKZY5

not attested not anchored not stored refs pending

The distribution of values of short hybrid exponential sums on curves over finite fields

Alexandru Zaharescu, Kit-Ho Mak

arxiv:1309.1726 v1 · 2013-09-06 · 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{F3NORSXYPYYTLTENFZBI6NKZY5}

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	2026-05-18T03:13:58.795182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edae8caf87e3135cc8d2e428f3559c77952dc9f666d7c8d7dc3ec218bcccb67

Aliases

arxiv: 1309.1726 · arxiv_version: 1309.1726v1 · doi: 10.48550/arxiv.1309.1726 · pith_short_12: F3NORSXYPYYT · pith_short_16: F3NORSXYPYYTLTEN · pith_short_8: F3NORSXY

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/F3NORSXYPYYTLTENFZBI6NKZY5 \
  | 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: 2edae8caf87e3135cc8d2e428f3559c77952dc9f666d7c8d7dc3ec218bcccb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16dc5e5d22235a71e5deeed7f6f87159cbc9e59831bd6b2ce07451dd9723d33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-06T18:35:41Z",
    "title_canon_sha256": "f5d21fa3be822f9ffeea5e3206d16d72d937d7063f3c228de5c2679ff4076458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1726",
    "kind": "arxiv",
    "version": 1
  }
}