Pith Number

pith:VEIDFTX3

pith:2018:VEIDFTX363VDB4TKUOHAKPU3JP

not attested not anchored not stored refs pending

Equidistributions of Jacobi sums

Ping Xi

arxiv:1809.04286 v1 · 2018-09-12 · 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{VEIDFTX363VDB4TKUOHAKPU3JP}

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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.

Cited by

1 paper in Pith

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Receipt and verification

First computed	2026-05-18T00:05:52.857724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91032cefbf6ea30f26aa38e053e9b4bcd6bb0ca42a0f5b1147beff50ee76d18

Aliases

arxiv: 1809.04286 · arxiv_version: 1809.04286v1 · doi: 10.48550/arxiv.1809.04286 · pith_short_12: VEIDFTX363VD · pith_short_16: VEIDFTX363VDB4TK · pith_short_8: VEIDFTX3

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/VEIDFTX363VDB4TKUOHAKPU3JP \
  | 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: a91032cefbf6ea30f26aa38e053e9b4bcd6bb0ca42a0f5b1147beff50ee76d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f301f3c15052578fc1c36263657a94acab3bf4fb5bd6fb1f52cce7fb71a2d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-12T07:37:33Z",
    "title_canon_sha256": "d44cba4c53f24a5f78501b39cffd4eacfb7f51622cf7278cbe1d6d6811f9880f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04286",
    "kind": "arxiv",
    "version": 1
  }
}