Pith Number

pith:DQGI7TDX

pith:2019:DQGI7TDXBR52F2MFNZGV3DUSKP

not attested not anchored not stored refs pending

Asymptotic combinatorics of Artin-Tits monoids and of some other monoids

Jean Mairesse, Samy Abbes, S\'ebastien Gou\"ezel, Vincent Jug\'e

arxiv:1902.02286 v1 · 2019-02-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQGI7TDXBR52F2MFNZGV3DUSKP}

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	2026-05-17T23:54:37.390468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c0c8fcc770c7ba2e9856e4d5d8e9253e60a3d1279da78e21a95a484ba186d1d

Aliases

arxiv: 1902.02286 · arxiv_version: 1902.02286v1 · doi: 10.48550/arxiv.1902.02286 · pith_short_12: DQGI7TDXBR52 · pith_short_16: DQGI7TDXBR52F2MF · pith_short_8: DQGI7TDX

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/DQGI7TDXBR52F2MFNZGV3DUSKP \
  | 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: 1c0c8fcc770c7ba2e9856e4d5d8e9253e60a3d1279da78e21a95a484ba186d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5746897384bc7b495f6f9331cdb8389c8eb045c297c30dbb87e19ae74317a638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-06T17:23:00Z",
    "title_canon_sha256": "91de3342bd4afc5900ecf8087af71702f917a8b3ee6369b0d9e8ea0663c5e7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02286",
    "kind": "arxiv",
    "version": 1
  }
}