Pith Number

pith:WBD6QWON

pith:2016:WBD6QWON6VNOKXIERRNIH426Q5

not attested not anchored not stored refs pending

Fixed points of adjoint functors enriched in a quantaloid

Hongliang Lai, Lili Shen

arxiv:1601.00239 v2 · 2016-01-03 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBD6QWON6VNOKXIERRNIH426Q5}

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	2026-05-18T00:38:31.441237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b047e859cdf55ae55d048c5a83f35e8774f060b9caf33a56ebcf7f886e1629f7

Aliases

arxiv: 1601.00239 · arxiv_version: 1601.00239v2 · doi: 10.48550/arxiv.1601.00239 · pith_short_12: WBD6QWON6VNO · pith_short_16: WBD6QWON6VNOKXIE · pith_short_8: WBD6QWON

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/WBD6QWON6VNOKXIERRNIH426Q5 \
  | 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: b047e859cdf55ae55d048c5a83f35e8774f060b9caf33a56ebcf7f886e1629f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3237d80cee841b4d9075bc44625e11d43c34dbd19361f53cae08654e469d8451",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-03T01:39:30Z",
    "title_canon_sha256": "d38e44033e33fd91d69fa49d97ebc4621311fad52a4c6548e92ced80776de0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00239",
    "kind": "arxiv",
    "version": 2
  }
}