Pith Number

pith:TH3546PD

pith:2017:TH3546PDTUPBYTURBWY76JEHMV

not attested not anchored not stored refs pending

An optimal uncertainty principle in twelve dimensions via modular forms

Felipe Gon\c{c}alves, Henry Cohn

arxiv:1712.04438 v3 · 2017-12-12 · math.CA · 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{TH3546PDTUPBYTURBWY76JEHMV}

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	2026-05-17T23:50:42.875496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f7de79e39d1e1c4e910db1ff2487654f727262abfe621475b36821b8c9c70d

Aliases

arxiv: 1712.04438 · arxiv_version: 1712.04438v3 · doi: 10.48550/arxiv.1712.04438 · pith_short_12: TH3546PDTUPB · pith_short_16: TH3546PDTUPBYTUR · pith_short_8: TH3546PD

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/TH3546PDTUPBYTURBWY76JEHMV \
  | 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: 99f7de79e39d1e1c4e910db1ff2487654f727262abfe621475b36821b8c9c70d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f58d295e336f0a865b40559b777c4aec2bf26c0d1811eedc38e1fa8f7301c69",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-12T18:52:49Z",
    "title_canon_sha256": "afcacab0c41c0d0ada835fdbf5600bff58c6542a3394ac6ff7d0de8a194c69b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04438",
    "kind": "arxiv",
    "version": 3
  }
}