Pith Number

pith:U5Z6NKNH

pith:2012:U5Z6NKNHM4CY2SZ5ROFVB5SUSL

not attested not anchored not stored refs pending

The Median Class and Superrigidity of Actions on CAT(0) Cube Complexes

Alessandra Iozzi, Indira Chatterji, Talia Fern\'os

arxiv:1212.1585 v6 · 2012-12-07 · 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{U5Z6NKNHM4CY2SZ5ROFVB5SUSL}

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	2026-05-18T01:35:42.223637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a773e6a9a767058d4b3d8b8b50f65492e861c1059db3a26030f66a2c28689653

Aliases

arxiv: 1212.1585 · arxiv_version: 1212.1585v6 · doi: 10.48550/arxiv.1212.1585 · pith_short_12: U5Z6NKNHM4CY · pith_short_16: U5Z6NKNHM4CY2SZ5 · pith_short_8: U5Z6NKNH

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/U5Z6NKNHM4CY2SZ5ROFVB5SUSL \
  | 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: a773e6a9a767058d4b3d8b8b50f65492e861c1059db3a26030f66a2c28689653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3cc5a5154fcbb9ba396d448220703c15aa30024b2310ef0f776bdaf7dd26bc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-07T11:24:04Z",
    "title_canon_sha256": "c40b26100725b3954d39447d140b3c8bf4fabfd7aebfdb73624c3c4d04a41990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1585",
    "kind": "arxiv",
    "version": 6
  }
}