Pith Number

pith:LBSQGX37

pith:2026:LBSQGX376FR5NZ53TVSLXKE4PY

not attested not anchored not stored refs pending

Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees

Emilio Torrente-Lujan

arxiv:2605.23011 v1 · 2026-05-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBSQGX376FR5NZ53TVSLXKE4PY}

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	2026-05-25T02:01:34.283410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5865035f7ff163d6e7bb9d64bba89c7e0c5f4520699fe0a951218aa529c8d6dd

Aliases

arxiv: 2605.23011 · arxiv_version: 2605.23011v1 · doi: 10.48550/arxiv.2605.23011 · pith_short_12: LBSQGX376FR5 · pith_short_16: LBSQGX376FR5NZ53 · pith_short_8: LBSQGX37

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/LBSQGX376FR5NZ53TVSLXKE4PY \
  | 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: 5865035f7ff163d6e7bb9d64bba89c7e0c5f4520699fe0a951218aa529c8d6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37ee6c22179016dce950af2fc8b4379cc873c66185ac98c54eb07e590bdfab9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T20:32:41Z",
    "title_canon_sha256": "cbb0fdd5615050d9db83867d5a6a21558fef0b1de343099a63093a877f5d1e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23011",
    "kind": "arxiv",
    "version": 1
  }
}