Pith Number

pith:LFDBFPIR

pith:2014:LFDBFPIRNQ766ZNNRXPQAC3NKJ

not attested not anchored not stored refs pending

Variations of the Poincar\'e series for affine Weyl groups and q-analogues of Chebyshev polynomials

Eric Marberg, Graham White

arxiv:1410.2772 v5 · 2014-10-10 · 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{LFDBFPIRNQ766ZNNRXPQAC3NKJ}

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	2026-05-18T01:06:24.771922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

594612bd116c3fef65ad8ddf000b6d5275172f83e420224a26d43fe7bf230baa

Aliases

arxiv: 1410.2772 · arxiv_version: 1410.2772v5 · doi: 10.48550/arxiv.1410.2772 · pith_short_12: LFDBFPIRNQ76 · pith_short_16: LFDBFPIRNQ766ZNN · pith_short_8: LFDBFPIR

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/LFDBFPIRNQ766ZNNRXPQAC3NKJ \
  | 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: 594612bd116c3fef65ad8ddf000b6d5275172f83e420224a26d43fe7bf230baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb7e5e2b3d462638e471e899d3bf796ea98ab374ba716ef2668a036f51ea421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-10T13:05:17Z",
    "title_canon_sha256": "b0609c0e30127615dc79b2d48d6e4c61911b6c9181791d5596f8c5f58f47935b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2772",
    "kind": "arxiv",
    "version": 5
  }
}