Pith Number

pith:3LT3SDEW

pith:2014:3LT3SDEW53PTUNPS6SUR56RT7H

not attested not anchored not stored refs pending

Adjoint functors between categories of Hilbert C*-modules

Nigel Higson, Pierre Clare, Tyrone Crisp

arxiv:1409.8656 v3 · 2014-09-30 · math.OA · 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{3LT3SDEW53PTUNPS6SUR56RT7H}

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	2026-05-18T01:11:33.743883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae7b90c96eedf3a35f2f4a91efa33f9d93b4b1dc2447c53210d3d4e981e3b10

Aliases

arxiv: 1409.8656 · arxiv_version: 1409.8656v3 · doi: 10.48550/arxiv.1409.8656 · pith_short_12: 3LT3SDEW53PT · pith_short_16: 3LT3SDEW53PTUNPS · pith_short_8: 3LT3SDEW

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/3LT3SDEW53PTUNPS6SUR56RT7H \
  | 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: dae7b90c96eedf3a35f2f4a91efa33f9d93b4b1dc2447c53210d3d4e981e3b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ec494a0d15c4f7b068b5d6a3b1741c8903f59c6646c2f276c1ef33dc8f503b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-30T19:03:57Z",
    "title_canon_sha256": "f7f9e19779e4226450bd017d60b9b0f062fed237530226ec1941bb72c4e11d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8656",
    "kind": "arxiv",
    "version": 3
  }
}