Pith Number

pith:Q56X5Y53

pith:2017:Q56X5Y53XEXQVLD74PULBWM24H

not attested not anchored not stored refs pending

Strong quasiconvexity, stability, and lower relative divergence in right-angled Artin groups

Hung Cong Tran

arxiv:1702.01430 v4 · 2017-02-05 · 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{Q56X5Y53XEXQVLD74PULBWM24H}

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	2026-05-18T00:36:09.214900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877d7ee3bbb92f0aac7fe3e8b0d99ae1caa11fd00056df105dad975ab8ff150f

Aliases

arxiv: 1702.01430 · arxiv_version: 1702.01430v4 · doi: 10.48550/arxiv.1702.01430 · pith_short_12: Q56X5Y53XEXQ · pith_short_16: Q56X5Y53XEXQVLD7 · pith_short_8: Q56X5Y53

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/Q56X5Y53XEXQVLD74PULBWM24H \
  | 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: 877d7ee3bbb92f0aac7fe3e8b0d99ae1caa11fd00056df105dad975ab8ff150f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad1eae0b19450305bd2a081e150b8e91b06f3f29e8018c18ca28ba5f418a93e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-05T17:17:59Z",
    "title_canon_sha256": "eb5fbaf1c149fd1c954200379d820cbdab415565f63b692817823d9528e1df95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01430",
    "kind": "arxiv",
    "version": 4
  }
}