Pith Number

pith:KBEYVXGQ

pith:2016:KBEYVXGQW5EHEDYMTVENO37AQY

not attested not anchored not stored refs pending

A graphical calculus for the Jack inner product on symmetric functions

Alistair Savage, Anthony Licata, Daniele Rosso

arxiv:1610.01862 v2 · 2016-10-06 · math.RT · math.QA · 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{KBEYVXGQW5EHEDYMTVENO37AQY}

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	2026-05-17T23:55:01.382502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50498adcd0b748720f0c9d48d76fe0862317b6ebecbb5a2b1f90bcd641019677

Aliases

arxiv: 1610.01862 · arxiv_version: 1610.01862v2 · doi: 10.48550/arxiv.1610.01862 · pith_short_12: KBEYVXGQW5EH · pith_short_16: KBEYVXGQW5EHEDYM · pith_short_8: KBEYVXGQ

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/KBEYVXGQW5EHEDYMTVENO37AQY \
  | 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: 50498adcd0b748720f0c9d48d76fe0862317b6ebecbb5a2b1f90bcd641019677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16510a842ee90aeafde4ed6125fc36cbec2af0ddb5598b92d494df2776f1ef5",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-06T13:23:38Z",
    "title_canon_sha256": "6fcf853bb88d96a29dca044de290c4533924ea52354e2319e4534cb0af9a9849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01862",
    "kind": "arxiv",
    "version": 2
  }
}