Pith Number

pith:B6TAT2VR

pith:2018:B6TAT2VRJBUCWXDNYCKJP5ZBKL

not attested not anchored not stored refs pending

The Algebraic Approach to Duality: An Introduction

Anja Sturm, Florian V\"ollering, Jan M. Swart

arxiv:1802.07150 v1 · 2018-02-20 · math.PR · 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{B6TAT2VRJBUCWXDNYCKJP5ZBKL}

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	2026-05-18T00:22:53.437926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa609eab148682b5c6dc09497f72152dffa4aacaecddadf2cb95728ca40e423

Aliases

arxiv: 1802.07150 · arxiv_version: 1802.07150v1 · doi: 10.48550/arxiv.1802.07150 · pith_short_12: B6TAT2VRJBUC · pith_short_16: B6TAT2VRJBUCWXDN · pith_short_8: B6TAT2VR

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/B6TAT2VRJBUCWXDNYCKJP5ZBKL \
  | 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: 0fa609eab148682b5c6dc09497f72152dffa4aacaecddadf2cb95728ca40e423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9df37acd564c1f76096d63251414c0d4b64cbcbf7978363e6a4e2c39d9f8096",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-20T15:28:05Z",
    "title_canon_sha256": "e6ff331a639adee50a41714903d1289033579a9d3ee12c996e9add55b4f49dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07150",
    "kind": "arxiv",
    "version": 1
  }
}