Pith Number

pith:6HKR6AEH

pith:2026:6HKR6AEHTMUDIUJOTRXWVTSMRF

not attested not anchored not stored refs pending

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses

Zhiqiang Wan

arxiv:2607.17159 v1 · 2026-07-19 · math.CA · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HKR6AEHTMUDIUJOTRXWVTSMRF}

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	2026-07-21T01:21:18.618753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d51f00879b2834512e9c6f6ace4c895f1533e40e31230e523b2aceb4521625

Aliases

arxiv: 2607.17159 · arxiv_version: 2607.17159v1 · doi: 10.48550/arxiv.2607.17159 · pith_short_12: 6HKR6AEHTMUD · pith_short_16: 6HKR6AEHTMUDIUJO · pith_short_8: 6HKR6AEH

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/6HKR6AEHTMUDIUJOTRXWVTSMRF \
  | 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: f1d51f00879b2834512e9c6f6ace4c895f1533e40e31230e523b2aceb4521625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30baf8eef889c35a7e749ddf445501f8749bc3772c424820f3cb4f77d47359f3",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-19T09:35:02Z",
    "title_canon_sha256": "1d3e9873b447955cac71d9751d54ad46e2a708d0f2a139d93c5ccffe7fd188dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17159",
    "kind": "arxiv",
    "version": 1
  }
}