Pith Number

pith:HYJIWIMU

pith:2016:HYJIWIMUFG6Z2DOMQR6YM4ZGJL

not attested not anchored not stored refs pending

On exponential sums over orbits in $\mathbb{F}_p^d$

Sarah Peluse

arxiv:1606.03495 v2 · 2016-06-10 · math.NT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYJIWIMUFG6Z2DOMQR6YM4ZGJL}

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	2026-05-18T01:08:16.621946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e128b219429bd9d0dcc847d8673264ac9e55a08033f5f92ba4d06ead9b12062

Aliases

arxiv: 1606.03495 · arxiv_version: 1606.03495v2 · doi: 10.48550/arxiv.1606.03495 · pith_short_12: HYJIWIMUFG6Z · pith_short_16: HYJIWIMUFG6Z2DOM · pith_short_8: HYJIWIMU

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/HYJIWIMUFG6Z2DOMQR6YM4ZGJL \
  | 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: 3e128b219429bd9d0dcc847d8673264ac9e55a08033f5f92ba4d06ead9b12062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f125fc83d98618793869bb0865d54d08b02a15aa1452b8f68bd39a4b0f8dc5d",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-10T22:24:04Z",
    "title_canon_sha256": "2fede5f892e465e0d171e5f8eb7c650437d78685571e7192b61baddcbaaa9002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03495",
    "kind": "arxiv",
    "version": 2
  }
}