Pith Number

pith:HKSTONE3

pith:2012:HKSTONE3TEW4IP5LODQTKKYYMB

not attested not anchored not stored refs pending

Supercharacters, exponential sums, and the uncertainty principle

Andrew P. Turner, Gizem Karaali, Hong Suh, J. L. Brumbaugh, Luis Alberto Garcia, Madeleine Bulkow, Matt Michal, Patrick S. Fleming, Stephan Ramon Garcia

arxiv:1208.5271 v6 · 2012-08-27 · math.RT · 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{HKSTONE3TEW4IP5LODQTKKYYMB}

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	2026-05-18T02:21:00.012396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa537349b992dc43fab70e1352b18605647c60d8b4e87f9d3306965c24ff6c7

Aliases

arxiv: 1208.5271 · arxiv_version: 1208.5271v6 · doi: 10.48550/arxiv.1208.5271 · pith_short_12: HKSTONE3TEW4 · pith_short_16: HKSTONE3TEW4IP5L · pith_short_8: HKSTONE3

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/HKSTONE3TEW4IP5LODQTKKYYMB \
  | 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: 3aa537349b992dc43fab70e1352b18605647c60d8b4e87f9d3306965c24ff6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe253778c80de1eadb56e45b29595d4be9e000ffe1ffd510d078495769aebebc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-27T00:32:39Z",
    "title_canon_sha256": "de5303d33866f6dde687297ab5ed2806dc3a6c7570c862659d173f178dfcec81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5271",
    "kind": "arxiv",
    "version": 6
  }
}