Pith Number

pith:VYDR3IRP

pith:2016:VYDR3IRP4D3JBDCMJJPXOGRC45

not attested not anchored not stored refs pending

A construction of dualizing categories by tensor products of categories

Ningmei Zhang, Yang Han

arxiv:1610.01320 v1 · 2016-10-05 · 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{VYDR3IRP4D3JBDCMJJPXOGRC45}

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	2026-05-18T01:03:11.144170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae071da22fe0f6908c4c4a5f771a22e7471835aa507ff17a6b6d308040c116aa

Aliases

arxiv: 1610.01320 · arxiv_version: 1610.01320v1 · doi: 10.48550/arxiv.1610.01320 · pith_short_12: VYDR3IRP4D3J · pith_short_16: VYDR3IRP4D3JBDCM · pith_short_8: VYDR3IRP

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/VYDR3IRP4D3JBDCMJJPXOGRC45 \
  | 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: ae071da22fe0f6908c4c4a5f771a22e7471835aa507ff17a6b6d308040c116aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f1a6c3ee9abb7c348a6de6b23cf4ea305b1bfc4b1894a64bde5e9fd5c7477a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-05T09:10:45Z",
    "title_canon_sha256": "9e646ac6e0883832f241eab6eba5c6a13f808c4d3127c8c6bc770fa2903de8a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01320",
    "kind": "arxiv",
    "version": 1
  }
}