Pith Number

pith:B2UG4AHY

pith:2014:B2UG4AHYBTP7BSFRAZFNRPUXJK

not attested not anchored not stored refs pending

Actions of Right-Angled Coxeter Groups on the Croke Kleiner Spaces

Yulan Qing

arxiv:1402.0154 v1 · 2014-02-02 · 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{B2UG4AHYBTP7BSFRAZFNRPUXJK}

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	2026-05-18T00:56:59.439081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea86e00f80cdff0c8b1064ad8be974abe227f3157f64d5157883565bdea4cbc

Aliases

arxiv: 1402.0154 · arxiv_version: 1402.0154v1 · doi: 10.48550/arxiv.1402.0154 · pith_short_12: B2UG4AHYBTP7 · pith_short_16: B2UG4AHYBTP7BSFR · pith_short_8: B2UG4AHY

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/B2UG4AHYBTP7BSFRAZFNRPUXJK \
  | 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: 0ea86e00f80cdff0c8b1064ad8be974abe227f3157f64d5157883565bdea4cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bc2b1e8d15e22ba39e7dea58b42dcd5f456514c8f4083e155d24ef41ef468d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-02T07:48:33Z",
    "title_canon_sha256": "6ff0b8a35f42625777fb11dfca1ae1a3c183d687146fed69fd956e1717bd62f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0154",
    "kind": "arxiv",
    "version": 1
  }
}