Pith Number

pith:CUSMLQK2

pith:2013:CUSMLQK2QIT6NDETDIPDQSTHPB

not attested not anchored not stored refs pending

On direct summands of homological functors on length categories

Alex Martsinkovsky

arxiv:1305.1914 v2 · 2013-05-08 · 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{CUSMLQK2QIT6NDETDIPDQSTHPB}

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	2026-05-18T02:30:32.634060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1524c5c15a8227e68c931a1e384a67787a0ac933d42329ca50624097b961fcdf

Aliases

arxiv: 1305.1914 · arxiv_version: 1305.1914v2 · doi: 10.48550/arxiv.1305.1914 · pith_short_12: CUSMLQK2QIT6 · pith_short_16: CUSMLQK2QIT6NDET · pith_short_8: CUSMLQK2

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/CUSMLQK2QIT6NDETDIPDQSTHPB \
  | 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: 1524c5c15a8227e68c931a1e384a67787a0ac933d42329ca50624097b961fcdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdc8eb33b34313dad8916055c07f260116a3053238cbdd61b1156f9cea3d8e6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-05-08T18:52:04Z",
    "title_canon_sha256": "74493c139b73580fb9f949831b18f319a6afdd3ca7e11e0dbcab2b87bb7323c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1914",
    "kind": "arxiv",
    "version": 2
  }
}