Pith Number

pith:7GD3BQ37

pith:2013:7GD3BQ37QG7NP52A2PJPXLCDEK

not attested not anchored not stored refs pending

Infinite reduced words and the Tits boundary of a Coxeter group

Anne Thomas, Thomas Lam

arxiv:1301.0873 v3 · 2013-01-05 · math.GR · math.CO · math.GT · 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{7GD3BQ37QG7NP52A2PJPXLCDEK}

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	2026-05-18T02:42:37.493936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f987b0c37f81bed7f740d3d2fbac4322a62a9bf66abb50e0536e43b6ea6ec559

Aliases

arxiv: 1301.0873 · arxiv_version: 1301.0873v3 · doi: 10.48550/arxiv.1301.0873 · pith_short_12: 7GD3BQ37QG7N · pith_short_16: 7GD3BQ37QG7NP52A · pith_short_8: 7GD3BQ37

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/7GD3BQ37QG7NP52A2PJPXLCDEK \
  | 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: f987b0c37f81bed7f740d3d2fbac4322a62a9bf66abb50e0536e43b6ea6ec559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c38f2f7f5336c1760f7b65559de73dcd97871f288daee5b7e237d26ba826a2",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-05T05:34:50Z",
    "title_canon_sha256": "83ae8d8e4af3d0918b98f612fa2855936118fbeeb1ad104b6cfc563fdd6ab4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0873",
    "kind": "arxiv",
    "version": 3
  }
}