Pith Number

pith:W2U4NGU2

pith:2009:W2U4NGU26QDPGCHWOTNV7SMGGE

not attested not anchored not stored refs pending

Assouad-Nagata dimension of connected Lie groups

I. Peng, J. Higes

arxiv:0910.4569 v3 · 2009-10-23 · math.GR · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2U4NGU26QDPGCHWOTNV7SMGGE}

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	2026-05-18T04:40:20.530797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a9c69a9af406f308f674db5fc986312868acab78085a54146c5d66072ab875

Aliases

arxiv: 0910.4569 · arxiv_version: 0910.4569v3 · doi: 10.48550/arxiv.0910.4569 · pith_short_12: W2U4NGU26QDP · pith_short_16: W2U4NGU26QDPGCHW · pith_short_8: W2U4NGU2

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/W2U4NGU26QDPGCHWOTNV7SMGGE \
  | 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: b6a9c69a9af406f308f674db5fc986312868acab78085a54146c5d66072ab875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ecebc74b85f55294f01403ea71b2c537f3963050584d23c6ea68e85426131fe",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-23T19:18:28Z",
    "title_canon_sha256": "c1b556068c87f51b7c6d7d01d6cff82218b50026f948ea934efaf18ecdc492bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4569",
    "kind": "arxiv",
    "version": 3
  }
}