Pith Number

pith:5KU355DI

pith:2015:5KU355DI2EOOHAMADEREJKTEB5

not attested not anchored not stored refs pending

Automata, reduced words, and Garside shadows in Coxeter groups

Christophe Hohlweg, Nathan Williams, Philippe Nadeau

arxiv:1510.01607 v2 · 2015-10-06 · math.CO · 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{5KU355DI2EOOHAMADEREJKTEB5}

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	2026-05-18T01:14:58.830668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa9bef468d11ce38180192244aa640f410771e9f34dfa2a1a70ed40981b81e8

Aliases

arxiv: 1510.01607 · arxiv_version: 1510.01607v2 · doi: 10.48550/arxiv.1510.01607 · pith_short_12: 5KU355DI2EOO · pith_short_16: 5KU355DI2EOOHAMA · pith_short_8: 5KU355DI

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/5KU355DI2EOOHAMADEREJKTEB5 \
  | 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: eaa9bef468d11ce38180192244aa640f410771e9f34dfa2a1a70ed40981b81e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c7a272509ad76da4903c63078f6d16fe6984788682277400b1733153884112",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-06T14:56:37Z",
    "title_canon_sha256": "b08e6d3ef61100b4123bf65c91902440561ed7b9cb87cec574baec5c64d746df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01607",
    "kind": "arxiv",
    "version": 2
  }
}