Pith Number

pith:LR3MQQ7B

pith:2011:LR3MQQ7BPUWUMT57XSTMXVHEXA

not attested not anchored not stored refs pending

Embedability between right-angled Artin groups

Sang-hyun Kim, Thomas Koberda

arxiv:1105.5056 v3 · 2011-05-25 · math.GR · 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{LR3MQQ7BPUWUMT57XSTMXVHEXA}

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	2026-05-18T01:22:28.996975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c76c843e17d2d464fbfbca6cbd4e4b83edf3148983b4db88ed89169e540f1ef

Aliases

arxiv: 1105.5056 · arxiv_version: 1105.5056v3 · doi: 10.48550/arxiv.1105.5056 · pith_short_12: LR3MQQ7BPUWU · pith_short_16: LR3MQQ7BPUWUMT57 · pith_short_8: LR3MQQ7B

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/LR3MQQ7BPUWUMT57XSTMXVHEXA \
  | 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: 5c76c843e17d2d464fbfbca6cbd4e4b83edf3148983b4db88ed89169e540f1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a2f0acfc652d258dc1fec403d554167d759da7f2401950dadcc66afd9540d8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-25T15:05:22Z",
    "title_canon_sha256": "13b133e4385ded712b3a307f1e13e5178e329bcdc5de32cf85ae244b42f4c19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5056",
    "kind": "arxiv",
    "version": 3
  }
}