Pith Number

pith:4IW5C7KW

pith:2010:4IW5C7KW2KQRHGJWYXSDH6YAGB

not attested not anchored not stored refs pending

A note on moments of derivatives of characteristic polynomials

Paul-Olivier Dehaye

arxiv:1001.3820 v2 · 2010-01-21 · math.RT · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IW5C7KW2KQRHGJWYXSDH6YAGB}

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	2026-05-18T04:40:08.310041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22dd17d56d2a1139936c5e433fb003050d043f6fda66e6e092ce5c30c0f9db6

Aliases

arxiv: 1001.3820 · arxiv_version: 1001.3820v2 · doi: 10.48550/arxiv.1001.3820 · pith_short_12: 4IW5C7KW2KQR · pith_short_16: 4IW5C7KW2KQRHGJW · pith_short_8: 4IW5C7KW

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/4IW5C7KW2KQRHGJWYXSDH6YAGB \
  | 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: e22dd17d56d2a1139936c5e433fb003050d043f6fda66e6e092ce5c30c0f9db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4259eda9a7900f52fdf111ebe61084bde45a29a3139b1e348755208b4975396",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-01-21T14:57:33Z",
    "title_canon_sha256": "ba31fd0108346c9299397e82133800653222a5994b43435fca1c958f44ecb05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3820",
    "kind": "arxiv",
    "version": 2
  }
}