Pith Number

pith:LKUJIFNM

pith:2025:LKUJIFNM36VYGIABLABUYP5EHR

not attested not anchored not stored refs pending

A Structural Condition on Point Sets with Few Distinct Dot Products

Anshula Gandhi

arxiv:2510.14585 v2 · 2025-10-16 · math.CO · 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{LKUJIFNM36VYGIABLABUYP5EHR}

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	2026-05-28T02:04:43.833132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa89415acdfab83200158034c3fa43c79ad8e71d577fca3af8ef904f612b310

Aliases

arxiv: 2510.14585 · arxiv_version: 2510.14585v2 · doi: 10.48550/arxiv.2510.14585 · pith_short_12: LKUJIFNM36VY · pith_short_16: LKUJIFNM36VYGIAB · pith_short_8: LKUJIFNM

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/LKUJIFNM36VYGIABLABUYP5EHR \
  | 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: 5aa89415acdfab83200158034c3fa43c79ad8e71d577fca3af8ef904f612b310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43dee04c8f527e6510970af93f18ac0867681dc17804c14d8f2ff6e30f94f06",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-16T11:43:13Z",
    "title_canon_sha256": "08d0e1591eb89f04ea278ab616c6fbfda0011adcdd818187a592aaa159b06962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.14585",
    "kind": "arxiv",
    "version": 2
  }
}