Pith Number

pith:4DJZSVU5

pith:2018:4DJZSVU57RDE7FOCK73JS52FUT

not attested not anchored not stored refs pending

Garside combinatorics for Thompson's monoid $F^+$ and a hybrid with the braid monoid $B\_\infty^+$

Emilie Tesson (LMNO), Patrick Dehornoy (LMNO)

arxiv:1803.02639 v2 · 2018-03-07 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DJZSVU57RDE7FOCK73JS52FUT}

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	2026-05-18T00:21:45.425105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d399569dfc464f95c257f6997745a4e221985a820a49a0495ccab30949d7c0

Aliases

arxiv: 1803.02639 · arxiv_version: 1803.02639v2 · doi: 10.48550/arxiv.1803.02639 · pith_short_12: 4DJZSVU57RDE · pith_short_16: 4DJZSVU57RDE7FOC · pith_short_8: 4DJZSVU5

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/4DJZSVU57RDE7FOCK73JS52FUT \
  | 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: e0d399569dfc464f95c257f6997745a4e221985a820a49a0495ccab30949d7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c32783152b921e76a4614f104cba61b4b6294230180ccf3d49a4468d8488b6e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-07T13:26:27Z",
    "title_canon_sha256": "a99ea8e7eab649333c9e8f617c8fe49de388addb09674590104f0c0003087714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02639",
    "kind": "arxiv",
    "version": 2
  }
}