Pith Number

pith:WWRUOI2U

pith:2014:WWRUOI2UHQJRLOVHDVF3XHSAWA

not attested not anchored not stored refs pending

Top dimensional quasiflats in $CAT(0)$ cube complexes

Jingyin Huang

arxiv:1410.8195 v4 · 2014-10-29 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWRUOI2UHQJRLOVHDVF3XHSAWA}

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	2026-05-18T00:42:33.618644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a34723543c1315baa71d4bbb9e40b0096e8ae93f9f71d8ea3a456c314a71b8

Aliases

arxiv: 1410.8195 · arxiv_version: 1410.8195v4 · doi: 10.48550/arxiv.1410.8195 · pith_short_12: WWRUOI2UHQJR · pith_short_16: WWRUOI2UHQJRLOVH · pith_short_8: WWRUOI2U

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/WWRUOI2UHQJRLOVHDVF3XHSAWA \
  | 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: b5a34723543c1315baa71d4bbb9e40b0096e8ae93f9f71d8ea3a456c314a71b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a8cbd4cd51b934e5d36bb22a7ab9b8c7b0ee71938574910623180408df824ba",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-29T23:18:40Z",
    "title_canon_sha256": "a0e7c6bac5fc88a3306ad12c9926a5a0880dd3b11424c125425bef2e17934aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8195",
    "kind": "arxiv",
    "version": 4
  }
}