Pith Number

pith:3WUA3MFP

pith:2014:3WUA3MFP7A2L5TGZ4RW7I4O4WP

not attested not anchored not stored refs pending

Unicity of graded covers of the Category $\mathcal O$ of Bernstein-Gelfand-Gelfand

Michael Rottmaier, Wolfgang Soergel

arxiv:1402.1273 v3 · 2014-02-06 · 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{3WUA3MFP7A2L5TGZ4RW7I4O4WP}

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	2026-05-18T01:44:47.071814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda80db0aff834beccd9e46df471dcb3e3a91eb834b7e814d86ebe3c747ca299

Aliases

arxiv: 1402.1273 · arxiv_version: 1402.1273v3 · doi: 10.48550/arxiv.1402.1273 · pith_short_12: 3WUA3MFP7A2L · pith_short_16: 3WUA3MFP7A2L5TGZ · pith_short_8: 3WUA3MFP

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/3WUA3MFP7A2L5TGZ4RW7I4O4WP \
  | 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: dda80db0aff834beccd9e46df471dcb3e3a91eb834b7e814d86ebe3c747ca299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d57e19d5dfb157fe534c39ca4a85169e21696368ef70c1307a96665a4229222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-02-06T08:40:24Z",
    "title_canon_sha256": "7e3a71b6077d12c39986c072b9551042a47f5a6391070ba786397c385f7b3f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1273",
    "kind": "arxiv",
    "version": 3
  }
}