Pith Number

pith:4YDLHCHY

pith:2004:4YDLHCHY4G6Q5AW4VZIAAKBWNL

not attested not anchored not stored refs pending

On Product Systems arising from Sum Systems

B. V. Rajarama Bhat, R. Srinivasan

arxiv:math/0405276 v1 · 2004-05-14 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YDLHCHY4G6Q5AW4VZIAAKBWNL}

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	2026-05-18T02:51:49.844747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e606b388f8e1bd0e82dcae500028366aeb73b23d813b7e36dc8022ded7b8a43d

Aliases

arxiv: math/0405276 · arxiv_version: math/0405276v1 · doi: 10.48550/arxiv.math/0405276 · pith_short_12: 4YDLHCHY4G6Q · pith_short_16: 4YDLHCHY4G6Q5AW4 · pith_short_8: 4YDLHCHY

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/4YDLHCHY4G6Q5AW4VZIAAKBWNL \
  | 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: e606b388f8e1bd0e82dcae500028366aeb73b23d813b7e36dc8022ded7b8a43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f649c2be3bda3e973a6cf94916d06590cc2596e8f5d22bd480369733d0559ae",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-05-14T10:39:46Z",
    "title_canon_sha256": "c60fc6e58478cf8bd05bca54d722d3254f6b226a46a3911b9d4d1510a3cdd17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405276",
    "kind": "arxiv",
    "version": 1
  }
}