Pith Number

pith:L2D6SMCI

pith:2009:L2D6SMCIDVM5EYUDCTEGPVLXT2

not attested not anchored not stored refs pending

Topology of Random Right Angled Artin Groups

Armindo Costa, Michael Farber

arxiv:0909.0887 v2 · 2009-09-04 · math.AT · 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{L2D6SMCIDVM5EYUDCTEGPVLXT2}

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	2026-05-18T04:31:52.470117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e87e930481d59d2628314c867d5779e93bc91ea7733f45728b97150247c0de1

Aliases

arxiv: 0909.0887 · arxiv_version: 0909.0887v2 · doi: 10.48550/arxiv.0909.0887 · pith_short_12: L2D6SMCIDVM5 · pith_short_16: L2D6SMCIDVM5EYUD · pith_short_8: L2D6SMCI

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/L2D6SMCIDVM5EYUDCTEGPVLXT2 \
  | 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: 5e87e930481d59d2628314c867d5779e93bc91ea7733f45728b97150247c0de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99a6b6baad07dd65a7f0f0fd123c31831c98330cd6181afe0597267957c9009",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-09-04T13:25:20Z",
    "title_canon_sha256": "d6e052c9cfc2ffccdec3c63726a97351102ede17b5c43227f27a0f25c9f6caee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0887",
    "kind": "arxiv",
    "version": 2
  }
}