Pith Number

pith:XFTDNH4L

pith:2009:XFTDNH4LQD4WZ3PDSGT5YVMOG6

not attested not anchored not stored refs pending

Graded and Koszul categories

{\O}yvind Solberg, Roberto Martinez-Villa

arxiv:0902.0714 v1 · 2009-02-04 · math.CT · 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{XFTDNH4LQD4WZ3PDSGT5YVMOG6}

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	2026-05-18T02:31:12.495675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b966369f8b80f96cede391a7dc558e37a0b22382159e7627bfefe95e8cee7fb8

Aliases

arxiv: 0902.0714 · arxiv_version: 0902.0714v1 · doi: 10.48550/arxiv.0902.0714 · pith_short_12: XFTDNH4LQD4W · pith_short_16: XFTDNH4LQD4WZ3PD · pith_short_8: XFTDNH4L

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/XFTDNH4LQD4WZ3PDSGT5YVMOG6 \
  | 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: b966369f8b80f96cede391a7dc558e37a0b22382159e7627bfefe95e8cee7fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602f971c84bdaf84fbdd4aef777c57bfe926c2848c095efb16c9291e3a572466",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-02-04T12:32:01Z",
    "title_canon_sha256": "07c1eda4818f4f69993af49ecf66418e4423f77a76e4adf13e8fefa79a28a38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0714",
    "kind": "arxiv",
    "version": 1
  }
}