Pith Number

pith:TVRSA4OH

pith:2011:TVRSA4OHS4HN5MI3COQAH65ABJ

not attested not anchored not stored refs pending

The Symbolic and cancellation-free formulae for Schur elements

Deke Zhao

arxiv:1110.6069 v2 · 2011-10-27 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVRSA4OHS4HN5MI3COQAH65ABJ}

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	2026-05-18T03:04:50.166686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d632071c7970edeb11b13a003fba00a6c0a31a5fc6907902ff0494903d6883b

Aliases

arxiv: 1110.6069 · arxiv_version: 1110.6069v2 · doi: 10.48550/arxiv.1110.6069 · pith_short_12: TVRSA4OHS4HN · pith_short_16: TVRSA4OHS4HN5MI3 · pith_short_8: TVRSA4OH

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/TVRSA4OHS4HN5MI3COQAH65ABJ \
  | 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: 9d632071c7970edeb11b13a003fba00a6c0a31a5fc6907902ff0494903d6883b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02551d3e0e8b936f28f6f1ee5c4ccc74559c7748f890eca18121909d1de29f29",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-27T12:57:58Z",
    "title_canon_sha256": "320086c24160896c5cbaaef56574c2428bbdbb6e222d7e7e1f12fea6a7bec4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6069",
    "kind": "arxiv",
    "version": 2
  }
}