Pith Number

pith:TFPB7VCL

pith:2019:TFPB7VCLDASEVGYSWPKCXVWY2F

not attested not anchored not stored refs pending

On Noncommutative Joinings

Jan Cameron, Jon Bannon, Kunal Mukherjee

arxiv:1905.06719 v1 · 2019-05-16 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFPB7VCLDASEVGYSWPKCXVWY2F}

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	2026-05-17T23:46:01.257040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995e1fd44b18244a9b12b3d42bd6d8d15de160c45233a6b3cfdb6e4e8a725380

Aliases

arxiv: 1905.06719 · arxiv_version: 1905.06719v1 · doi: 10.48550/arxiv.1905.06719 · pith_short_12: TFPB7VCLDASE · pith_short_16: TFPB7VCLDASEVGYS · pith_short_8: TFPB7VCL

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/TFPB7VCLDASEVGYSWPKCXVWY2F \
  | 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: 995e1fd44b18244a9b12b3d42bd6d8d15de160c45233a6b3cfdb6e4e8a725380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7688fd3783b3f5c62cde613b04a8d5286efede4ca2ca7efcf6b050878742a399",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-16T13:12:40Z",
    "title_canon_sha256": "4479af0e76af24ba3b7f5674a3112db51a4ad48327467917ffda2f08826c5205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06719",
    "kind": "arxiv",
    "version": 1
  }
}