Pith Number

pith:4Q6LUHNM

pith:2010:4Q6LUHNMP3L7IPUYQYQHCVHX2V

not attested not anchored not stored refs pending

Covariant representations of subproduct systems

Ami Viselter

arxiv:1004.3004 v2 · 2010-04-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q6LUHNMP3L7IPUYQYQHCVHX2V}

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	2026-05-18T04:25:28.383456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43cba1dac7ed7f43e9886207154f7d542294f63609b8f56c73ac112398a737c

Aliases

arxiv: 1004.3004 · arxiv_version: 1004.3004v2 · doi: 10.48550/arxiv.1004.3004 · pith_short_12: 4Q6LUHNMP3L7 · pith_short_16: 4Q6LUHNMP3L7IPUY · pith_short_8: 4Q6LUHNM

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/4Q6LUHNMP3L7IPUYQYQHCVHX2V \
  | 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: e43cba1dac7ed7f43e9886207154f7d542294f63609b8f56c73ac112398a737c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca7d0cf2daffea884768507bf8333e01814a43b7238d161f6e01dbedde5f2d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-18T07:56:02Z",
    "title_canon_sha256": "52d2255d47d85793e45163d2e0b5e97f78606570907415dfe495edcad9fc8d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3004",
    "kind": "arxiv",
    "version": 2
  }
}