Pith Number

pith:6YIGCDYL

pith:2016:6YIGCDYLPTR5Q57BRGN4D2UZ7N

not attested not anchored not stored refs pending

A lower bound for the dimension of a highest weight module

Daniel Goldstein, Richard Stong, Robert Guralnick

arxiv:1603.03076 v1 · 2016-03-09 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YIGCDYLPTR5Q57BRGN4D2UZ7N}

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	2026-05-18T01:19:19.088374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f610610f0b7ce3d877e1899bc1ea99fb50492aee5283d522e931e067ec0f9399

Aliases

arxiv: 1603.03076 · arxiv_version: 1603.03076v1 · doi: 10.48550/arxiv.1603.03076 · pith_short_12: 6YIGCDYLPTR5 · pith_short_16: 6YIGCDYLPTR5Q57B · pith_short_8: 6YIGCDYL

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/6YIGCDYLPTR5Q57BRGN4D2UZ7N \
  | 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: f610610f0b7ce3d877e1899bc1ea99fb50492aee5283d522e931e067ec0f9399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd3252d24f3f07e2abe6330e598f4367024cb6f11a0db4cd58ed3c8b792dce7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-09T21:55:40Z",
    "title_canon_sha256": "7773c6e84aa71decc15e060b52150e6c8efdf24fc4692270e49df68184a20b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03076",
    "kind": "arxiv",
    "version": 1
  }
}