Pith Number

pith:GHV6DUA2

pith:2013:GHV6DUA2UERJGG2EJ3XEA324YT

not attested not anchored not stored refs pending

Projective modules of $0$-Schur algebras

Bernt Tore Jensen, Guiyu yang, Xiuping Su

arxiv:1312.5487 v3 · 2013-12-19 · math.RA · math.QA · 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{GHV6DUA2UERJGG2EJ3XEA324YT}

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	2026-05-18T01:23:33.832709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ebe1d01aa122931b444eee406f5cc4eaf93d77a74d0634a262166ca2b2d9fc

Aliases

arxiv: 1312.5487 · arxiv_version: 1312.5487v3 · doi: 10.48550/arxiv.1312.5487 · pith_short_12: GHV6DUA2UERJ · pith_short_16: GHV6DUA2UERJGG2E · pith_short_8: GHV6DUA2

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/GHV6DUA2UERJGG2EJ3XEA324YT \
  | 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: 31ebe1d01aa122931b444eee406f5cc4eaf93d77a74d0634a262166ca2b2d9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd86735fbef8991fb6064d0d3cd1718ba6f8826c781f78a3a29e31b7ca272b6",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-19T11:22:55Z",
    "title_canon_sha256": "42a69508a91f4cae9bae8111d16c457e4b3fa7b4b2e29af604709c8a76167a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5487",
    "kind": "arxiv",
    "version": 3
  }
}