Pith Number

pith:DU3NY7UU

pith:2025:DU3NY7UUN5GQC7YMAYPPWW7OTO

not attested not anchored not stored refs pending

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

Anthony Christiana, Dionne Ibarra, Gabriel Montoya-Vega

arxiv:2504.16439 v1 · 2025-04-23 · 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{DU3NY7UUN5GQC7YMAYPPWW7OTO}

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	2026-07-05T10:52:46.741927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d36dc7e946f4d017f0c061efb5bee9bb5ffe7e0cd7d8b20631d39aeda505c5d

Aliases

arxiv: 2504.16439 · arxiv_version: 2504.16439v1 · doi: 10.48550/arxiv.2504.16439 · pith_short_12: DU3NY7UUN5GQ · pith_short_16: DU3NY7UUN5GQC7YM · pith_short_8: DU3NY7UU

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/DU3NY7UUN5GQC7YMAYPPWW7OTO \
  | 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: 1d36dc7e946f4d017f0c061efb5bee9bb5ffe7e0cd7d8b20631d39aeda505c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f743170c5b9d955fe7194889d21b8dfbd33bccf04e540ce04322ade4f2fd3d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-23T05:58:19Z",
    "title_canon_sha256": "228df6f94e0ad46e740feb24947b34d95362f4ae5d12af415132ec3992a89916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16439",
    "kind": "arxiv",
    "version": 1
  }
}