Pith Number

pith:JAQS6O6U

pith:2017:JAQS6O6UC2QRF5DBAHV4B5I74Q

not attested not anchored not stored refs pending

Embeddability of right-angled Artin groups on complements of trees

Eon-Kyung Lee, Sang-Jin Lee

arxiv:1706.10002 v2 · 2017-06-30 · 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{JAQS6O6UC2QRF5DBAHV4B5I74Q}

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	2026-05-18T00:11:58.161507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48212f3bd416a112f46101ebc0f51fe4079ec2f6934f307d2eb071777645baeb

Aliases

arxiv: 1706.10002 · arxiv_version: 1706.10002v2 · doi: 10.48550/arxiv.1706.10002 · pith_short_12: JAQS6O6UC2QR · pith_short_16: JAQS6O6UC2QRF5DB · pith_short_8: JAQS6O6U

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/JAQS6O6UC2QRF5DBAHV4B5I74Q \
  | 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: 48212f3bd416a112f46101ebc0f51fe4079ec2f6934f307d2eb071777645baeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233c7d5cd23fd630fe7200825b58f1f95b4534a0899917b085af2d704701ef58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-30T02:15:04Z",
    "title_canon_sha256": "fd335786b7092158e0c7d2fd780b756eef4f8a38affa90b8ab11d2f3dabb4ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10002",
    "kind": "arxiv",
    "version": 2
  }
}