Pith Number

pith:DRKQBWRH

pith:2009:DRKQBWRHG5QONTT3RYHP5H33MF

not attested not anchored not stored refs pending

Inclusion systems and amalgamated products of product systems

B. V. Rajarama Bhat, Mithun Mukherjee

arxiv:0907.0095 v2 · 2009-07-01 · 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{DRKQBWRHG5QONTT3RYHP5H33MF}

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	2026-05-18T02:51:50.381220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5500da273760e6ce7b8e0efe9f7b615cc0e70cbab3e259d729a9bf6ea61c8e

Aliases

arxiv: 0907.0095 · arxiv_version: 0907.0095v2 · doi: 10.48550/arxiv.0907.0095 · pith_short_12: DRKQBWRHG5QO · pith_short_16: DRKQBWRHG5QONTT3 · pith_short_8: DRKQBWRH

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/DRKQBWRHG5QONTT3RYHP5H33MF \
  | 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: 1c5500da273760e6ce7b8e0efe9f7b615cc0e70cbab3e259d729a9bf6ea61c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92412c860cd41346f45423f2d0078aa1cfdd3761d9abc2fc991e467988fd5841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-01T09:23:34Z",
    "title_canon_sha256": "2ce1d77aaecc5391e03a46e1a5f74ceaba54a20aa773fdcc5d5200a09476d596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0095",
    "kind": "arxiv",
    "version": 2
  }
}