Pith Number

pith:WICRDFFK

pith:2010:WICRDFFKVIGX4MKKS27ZOMRFZB

not attested not anchored not stored refs pending

Chebyshev polynomials on symmetric matrices

Karin Erdmann, Sibylle Schroll

arxiv:1010.3873 v1 · 2010-10-19 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WICRDFFKVIGX4MKKS27ZOMRFZB}

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	2026-05-18T04:39:07.373329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2051194aaaa0d7e314a96bf973225c87e69df2b979555ec6e6f5679efd10d19

Aliases

arxiv: 1010.3873 · arxiv_version: 1010.3873v1 · doi: 10.48550/arxiv.1010.3873 · pith_short_12: WICRDFFKVIGX · pith_short_16: WICRDFFKVIGX4MKK · pith_short_8: WICRDFFK

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/WICRDFFKVIGX4MKKS27ZOMRFZB \
  | 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: b2051194aaaa0d7e314a96bf973225c87e69df2b979555ec6e6f5679efd10d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3992aac2a7915cf2b4d93e60a9d00bc7e4c0c865eaef0450c88286db60041f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-19T12:20:34Z",
    "title_canon_sha256": "0fd40958a3c89e2e4da253624486bf0e7cb3a16ea2f9beea6c6c913ac9f083bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3873",
    "kind": "arxiv",
    "version": 1
  }
}