Pith Number

pith:I7B6NP7Q

pith:2013:I7B6NP7QAFXBLIZPZL33M26KHY

not attested not anchored not stored refs pending

The $k$-th derivatives of the immanant and the $\chi$-symmetric power of an operator

Pedro J. Freitas, S\'onia Carvalho

arxiv:1305.1143 v1 · 2013-05-06 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7B6NP7QAFXBLIZPZL33M26KHY}

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	2026-05-18T03:26:24.004041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c3e6bff0016e15a32fcaf7b66bca3e190848c129280e166d512a71bdc5a707

Aliases

arxiv: 1305.1143 · arxiv_version: 1305.1143v1 · doi: 10.48550/arxiv.1305.1143 · pith_short_12: I7B6NP7QAFXB · pith_short_16: I7B6NP7QAFXBLIZP · pith_short_8: I7B6NP7Q

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/I7B6NP7QAFXBLIZPZL33M26KHY \
  | 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: 47c3e6bff0016e15a32fcaf7b66bca3e190848c129280e166d512a71bdc5a707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae95e1929dc2fd4d7aaffc198366bead1c17f9db3d63e9193b108ec073f5f9c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-06T10:36:42Z",
    "title_canon_sha256": "d0f57c042d2cb1f3b716c9627530fc72e4013fa6e53699ebd374b2bd43e3508a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1143",
    "kind": "arxiv",
    "version": 1
  }
}