Pith Number

pith:NWB44BXK

pith:2011:NWB44BXK4BK5EXOS3T742W3BJM

not attested not anchored not stored refs pending

Double Adjunctions and Free Monads

Joachim Kock, Nicola Gambino, Thomas M. Fiore

arxiv:1105.6206 v2 · 2011-05-31 · 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{NWB44BXK4BK5EXOS3T742W3BJM}

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	2026-05-18T02:47:51.354450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d83ce06eae055d25dd2dcffcd5b614b183f9949632924026bba3b7d5f301a3e

Aliases

arxiv: 1105.6206 · arxiv_version: 1105.6206v2 · doi: 10.48550/arxiv.1105.6206 · pith_short_12: NWB44BXK4BK5 · pith_short_16: NWB44BXK4BK5EXOS · pith_short_8: NWB44BXK

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/NWB44BXK4BK5EXOS3T742W3BJM \
  | 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: 6d83ce06eae055d25dd2dcffcd5b614b183f9949632924026bba3b7d5f301a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4eaf0dac293e05d4ecc7d54bc0c53a74003b8e4d8a8fefe811dc7a8d83e3af2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-05-31T08:57:01Z",
    "title_canon_sha256": "ae54c7cb82ba7ebbafb6e60d2aef133aa200fda6cfc793909353759da6d0d2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6206",
    "kind": "arxiv",
    "version": 2
  }
}