Pith Number

pith:3D6ZJ4R5

pith:2026:3D6ZJ4R5U6J4CGKANTS2UMLDXZ

not attested not anchored not stored refs pending

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions

Kasso A. Okoudjou, Shuang Guan

arxiv:2607.26878 v1 · 2026-07-29 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D6ZJ4R5U6J4CGKANTS2UMLDXZ}

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.

Cited by

1 paper in Pith

The Minimum Cardinality of a Dependent Finite Gabor System Is Four

Receipt and verification

First computed	2026-07-30T01:22:51.037665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d8fd94f23da793c119406ce5aa3163be703d5ab36972097c04b05815de0ea936

Aliases

arxiv: 2607.26878 · arxiv_version: 2607.26878v1 · doi: 10.48550/arxiv.2607.26878 · pith_short_12: 3D6ZJ4R5U6J4 · pith_short_16: 3D6ZJ4R5U6J4CGKA · pith_short_8: 3D6ZJ4R5

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/3D6ZJ4R5U6J4CGKANTS2UMLDXZ \
  | 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: d8fd94f23da793c119406ce5aa3163be703d5ab36972097c04b05815de0ea936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f9aed6abffb9ba337a042d0a874f1c5dfbee4b638fd6f2c7bf89cc77b23016",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-29T13:08:31Z",
    "title_canon_sha256": "2d84d86ed280af0d9f256a00508dde18c6b2a592d14914cbd45c909e49704690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26878",
    "kind": "arxiv",
    "version": 1
  }
}