Pith Number

pith:RQ3F23CO

pith:2016:RQ3F23COY2LRCMJMQAREABANDA

not attested not anchored not stored refs pending

On a certain family of U(b)-modules

Piotr Pragacz

arxiv:1603.00189 v3 · 2016-03-01 · math.RT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQ3F23COY2LRCMJMQAREABANDA}

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	2026-05-18T01:02:56.535116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c365d6c4ec69711312c802240040d183eab701cd388290164fb190421f260c4

Aliases

arxiv: 1603.00189 · arxiv_version: 1603.00189v3 · doi: 10.48550/arxiv.1603.00189 · pith_short_12: RQ3F23COY2LR · pith_short_16: RQ3F23COY2LRCMJM · pith_short_8: RQ3F23CO

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/RQ3F23COY2LRCMJMQAREABANDA \
  | 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: 8c365d6c4ec69711312c802240040d183eab701cd388290164fb190421f260c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108b0b3ea7fc4630f204db584978f3189f390b373f23c2471422423aad48b240",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-01T08:59:42Z",
    "title_canon_sha256": "4c1ded80a9c589b93806bc67dd6fa88e10f17156820ac874d91d399b9606d992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00189",
    "kind": "arxiv",
    "version": 3
  }
}