Pith Number

pith:BQ2G4XVU

pith:2019:BQ2G4XVUGRLVJHSO3PETTWM6JJ

not attested not anchored not stored refs pending

Recollements and Ladders for weighted projective lines

Shiquan Ruan

arxiv:1907.07194 v1 · 2019-07-16 · 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{BQ2G4XVUGRLVJHSO3PETTWM6JJ}

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	2026-05-17T23:40:27.465071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c346e5eb43457549e4edbc939d99e4a430aec79d598cc5f0dbaa816935db9a1

Aliases

arxiv: 1907.07194 · arxiv_version: 1907.07194v1 · doi: 10.48550/arxiv.1907.07194 · pith_short_12: BQ2G4XVUGRLV · pith_short_16: BQ2G4XVUGRLVJHSO · pith_short_8: BQ2G4XVU

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/BQ2G4XVUGRLVJHSO3PETTWM6JJ \
  | 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: 0c346e5eb43457549e4edbc939d99e4a430aec79d598cc5f0dbaa816935db9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b0569a02e51e3481349fe1a8e0378c5a2807e32a0e3e1ac2711458b3d7af49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-16T18:00:22Z",
    "title_canon_sha256": "0474f03cecc55c2d37af605b8de2d9203c67737362b1c2a142da90fbfcc2cba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07194",
    "kind": "arxiv",
    "version": 1
  }
}