Pith Number

pith:ZCKJC7KY

pith:2017:ZCKJC7KYBIKRXICDBRP6DQ4PHX

not attested not anchored not stored refs pending

On the Spectral Properties of Symmetric Functions

Anil Ada (CMU), Omar Fawzi (LIP), Raghav Kulkarni

arxiv:1704.03176 v1 · 2017-04-11 · cs.CC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCKJC7KYBIKRXICDBRP6DQ4PHX}

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	2026-05-18T00:46:33.290246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c894917d580a151ba0430c5fe1c38f3dd0ddeaaeb1cca1902de1c55e028e2280

Aliases

arxiv: 1704.03176 · arxiv_version: 1704.03176v1 · doi: 10.48550/arxiv.1704.03176 · pith_short_12: ZCKJC7KYBIKR · pith_short_16: ZCKJC7KYBIKRXICD · pith_short_8: ZCKJC7KY

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/ZCKJC7KYBIKRXICDBRP6DQ4PHX \
  | 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: c894917d580a151ba0430c5fe1c38f3dd0ddeaaeb1cca1902de1c55e028e2280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82cf4e46db563c66e87c956727d77f31c66daa0d75d90b5d199da09f59727808",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-04-11T07:37:28Z",
    "title_canon_sha256": "9d147d41b4144fd267a912b05f5a9c50b79f9f49e3d17dec48d6849b8152dd80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03176",
    "kind": "arxiv",
    "version": 1
  }
}