Pith Number

pith:L4CMOSNS

pith:2023:L4CMOSNSY2ZHHIS2Z6MLEPELO3

not attested not anchored not stored refs pending

On a new Gram determinant from the M\"obius band

Dionne Ibarra, Gabriel Montoya-Vega

arxiv:2304.05616 v1 · 2023-04-12 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4CMOSNSY2ZHHIS2Z6MLEPELO3}

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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

Chebyshev polynomials and Gram determinants from the M\"obius band

Receipt and verification

First computed	2026-07-05T09:34:32.768366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f04c749b2c6b273a25acf98b23c8b76eae5d988bb024cc336bdf91cb59ef314

Aliases

arxiv: 2304.05616 · arxiv_version: 2304.05616v1 · doi: 10.48550/arxiv.2304.05616 · pith_short_12: L4CMOSNSY2ZH · pith_short_16: L4CMOSNSY2ZHHIS2 · pith_short_8: L4CMOSNS

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/L4CMOSNSY2ZHHIS2Z6MLEPELO3 \
  | 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: 5f04c749b2c6b273a25acf98b23c8b76eae5d988bb024cc336bdf91cb59ef314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f55462bde9d9fd3ee7d27a1404c0120bb9fde9bbab195e34f14e35523004ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-12T05:15:55Z",
    "title_canon_sha256": "49f7f0ed6f3b53bc3aa541046f29cafa23cd2fd33e9da636a48ef0439d37bbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.05616",
    "kind": "arxiv",
    "version": 1
  }
}