Pith Number

pith:JC3PVAFG

pith:2017:JC3PVAFGTCZFSDRBY4EVK7FFWO

not attested not anchored not stored refs pending

Symmetric structure for the endomorphism algebra of projective-injective module in parabolic category

Jun Hu, Ngau Lam

arxiv:1702.05834 v4 · 2017-02-20 · 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{JC3PVAFGTCZFSDRBY4EVK7FFWO}

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	2026-05-18T00:06:12.491383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b6fa80a698b2590e21c709557ca5b3966d01c40add199cf7ed7dec6425e9fd

Aliases

arxiv: 1702.05834 · arxiv_version: 1702.05834v4 · doi: 10.48550/arxiv.1702.05834 · pith_short_12: JC3PVAFGTCZF · pith_short_16: JC3PVAFGTCZFSDRB · pith_short_8: JC3PVAFG

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/JC3PVAFGTCZFSDRBY4EVK7FFWO \
  | 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: 48b6fa80a698b2590e21c709557ca5b3966d01c40add199cf7ed7dec6425e9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd63fa9f148f14f73435863217209c247761bc638c3afc906325352b2aa81ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-02-20T02:10:24Z",
    "title_canon_sha256": "14bfc485fba04b13d4f14b94bc1630240597247a3e1f1a7fb6270759ecf1da42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05834",
    "kind": "arxiv",
    "version": 4
  }
}