Pith Number

pith:SEAZTTJI

pith:2011:SEAZTTJIL5S3NQI37WIYZQRQTO

not attested not anchored not stored refs pending

Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups

Caroline Gruson, Vera Serganova

arxiv:1111.6959 v1 · 2011-11-29 · 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{SEAZTTJIL5S3NQI37WIYZQRQTO}

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	2026-05-18T04:07:20.160352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910199cd285f65b6c11bfd918cc2309b93bc98c230624b4652de80bf7a0d2143

Aliases

arxiv: 1111.6959 · arxiv_version: 1111.6959v1 · doi: 10.48550/arxiv.1111.6959 · pith_short_12: SEAZTTJIL5S3 · pith_short_16: SEAZTTJIL5S3NQI3 · pith_short_8: SEAZTTJI

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/SEAZTTJIL5S3NQI37WIYZQRQTO \
  | 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: 910199cd285f65b6c11bfd918cc2309b93bc98c230624b4652de80bf7a0d2143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21dd0a1383cdad3ba708dd19341ee97a199391bc6f6bccf3b2c2646c6d6b93f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-29T20:25:43Z",
    "title_canon_sha256": "43146a613e5314c418e83f9c37decd4428f3567ae7a0477c6dee50190400d05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6959",
    "kind": "arxiv",
    "version": 1
  }
}