Pith Number

pith:VMIVKSEV

pith:2025:VMIVKSEVUT5BPL4XDZKJ7Z2DKZ

not attested not anchored not stored refs pending

Extension dimensions under singular equivalences and recollements

Jinbi Zhang, Junling Zheng

arxiv:2502.09009 v1 · 2025-02-13 · math.RT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMIVKSEVUT5BPL4XDZKJ7Z2DKZ}

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	2026-07-05T10:13:51.024161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab11554895a4fa17af971e549fe7435654b6ad853bbd91bf285f9889ecef0d56

Aliases

arxiv: 2502.09009 · arxiv_version: 2502.09009v1 · doi: 10.48550/arxiv.2502.09009 · pith_short_12: VMIVKSEVUT5B · pith_short_16: VMIVKSEVUT5BPL4X · pith_short_8: VMIVKSEV

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/VMIVKSEVUT5BPL4XDZKJ7Z2DKZ \
  | 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: ab11554895a4fa17af971e549fe7435654b6ad853bbd91bf285f9889ecef0d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e59c5be239c3d700c268a6be0889824f89fdc48ff4db8b12e3582bea26dc0fc",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-02-13T06:59:10Z",
    "title_canon_sha256": "1f3a8e20de016759e64827c3d74f20e7b86a3dcb21e507a3c031d55fd68f1c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09009",
    "kind": "arxiv",
    "version": 1
  }
}