Pith Number

pith:VFS6ZOL7

pith:2010:VFS6ZOL7VTFRRYBMKMHUGQVXH3

not attested not anchored not stored refs pending

Embeddings of right-angled Artin groups

Travis Scrimshaw

arxiv:1010.6286 v5 · 2010-10-29 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFS6ZOL7VTFRRYBMKMHUGQVXH3}

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	2026-05-18T03:06:03.950407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a965ecb97faccb18e02c530f4342b73ee7162a01f7dc776cb71c5864d85f8cd7

Aliases

arxiv: 1010.6286 · arxiv_version: 1010.6286v5 · doi: 10.48550/arxiv.1010.6286 · pith_short_12: VFS6ZOL7VTFR · pith_short_16: VFS6ZOL7VTFRRYBM · pith_short_8: VFS6ZOL7

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/VFS6ZOL7VTFRRYBMKMHUGQVXH3 \
  | 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: a965ecb97faccb18e02c530f4342b73ee7162a01f7dc776cb71c5864d85f8cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d56bdf861c13f0ef75669aed1f7f646696e925528cfdf6ffa72a25a2144016",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-29T18:16:20Z",
    "title_canon_sha256": "d53b994e3d4b0005357bab21eb776f2f22a9f0509f38fed5fb95a69de890e68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6286",
    "kind": "arxiv",
    "version": 5
  }
}