Pith Number

pith:X6WLLA5X

pith:2012:X6WLLA5X5V6Z36NXLCNCAE3BMR

not attested not anchored not stored refs pending

An obstruction to embedding right-angled Artin groups in mapping class groups

Sang-hyun Kim, Thomas Koberda

arxiv:1207.5498 v2 · 2012-07-23 · 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{X6WLLA5X5V6Z36NXLCNCAE3BMR}

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	2026-05-18T03:43:41.964770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfacb583b7ed7d9df9b7589a20136164408c46f4415a8e38d13106db25143dd2

Aliases

arxiv: 1207.5498 · arxiv_version: 1207.5498v2 · doi: 10.48550/arxiv.1207.5498 · pith_short_12: X6WLLA5X5V6Z · pith_short_16: X6WLLA5X5V6Z36NX · pith_short_8: X6WLLA5X

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/X6WLLA5X5V6Z36NXLCNCAE3BMR \
  | 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: bfacb583b7ed7d9df9b7589a20136164408c46f4415a8e38d13106db25143dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c41a0b0e1b5bd0c1a58d4a2ef56b664d01669a5ac0511f6fdf7f21039e76c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-23T19:52:30Z",
    "title_canon_sha256": "03ce7aaecc703eba3a58045e1f83ebef407ddcec43fe62d1ebdce43ac082e923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5498",
    "kind": "arxiv",
    "version": 2
  }
}