Pith Number

pith:TB22PZF7

pith:2018:TB22PZF7II5DU66A2L5GVYPKGE

not attested not anchored not stored refs pending

Neighbourhoods in root systems of infinite Coxeter groups

Lawrence Reeves, Xiang Fu, Yuhan Cai

arxiv:1811.05628 v1 · 2018-11-14 · 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{TB22PZF7II5DU66A2L5GVYPKGE}

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	2026-05-18T00:00:42.498789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9875a7e4bf423a3a7bc0d2fa6ae1ea31160829cd5d2c208f07d6097615548f46

Aliases

arxiv: 1811.05628 · arxiv_version: 1811.05628v1 · doi: 10.48550/arxiv.1811.05628 · pith_short_12: TB22PZF7II5D · pith_short_16: TB22PZF7II5DU66A · pith_short_8: TB22PZF7

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/TB22PZF7II5DU66A2L5GVYPKGE \
  | 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: 9875a7e4bf423a3a7bc0d2fa6ae1ea31160829cd5d2c208f07d6097615548f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051a192e67184ebcd2ca3ae806de8143b9138689d64f2fe9c816dac7f2eb43a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-14T04:05:00Z",
    "title_canon_sha256": "ca1fe24a26761d0e3b0aee0acd4c07bf2a2ee03f4df665ea14c193dc3517c0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05628",
    "kind": "arxiv",
    "version": 1
  }
}