Pith Number

pith:TRUZPCE7

pith:2026:TRUZPCE7MLNMTKGNB4D3ONFGOQ

not attested not anchored not stored refs pending

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group

Marianna Chatzakou

arxiv:2607.26906 v1 · 2026-07-29 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRUZPCE7MLNMTKGNB4D3ONFGOQ}

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	2026-07-30T01:22:57.646683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9c6997889f62dac9a8cd0f07b734a67431d06c31effabe093af6ab67afce8b42

Aliases

arxiv: 2607.26906 · arxiv_version: 2607.26906v1 · doi: 10.48550/arxiv.2607.26906 · pith_short_12: TRUZPCE7MLNM · pith_short_16: TRUZPCE7MLNMTKGN · pith_short_8: TRUZPCE7

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/TRUZPCE7MLNMTKGNB4D3ONFGOQ \
  | 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: 9c6997889f62dac9a8cd0f07b734a67431d06c31effabe093af6ab67afce8b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c080f461147c7eb1dc77d6d7d7ab3da26abd71f76f4c0134475899e66d5ead",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-29T13:38:04Z",
    "title_canon_sha256": "a0e52039dcde47cc573662483e920332120e234f173f0103516b10fcd2351c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26906",
    "kind": "arxiv",
    "version": 1
  }
}