Pith Number

pith:NKXPYWR4

pith:2014:NKXPYWR4UVMGTTTWCBHTCNSAAP

not attested not anchored not stored refs pending

Growth in Right-Angled Groups and Monoids

Amritanshu Prasad, Jayadev S. Athreya

arxiv:1409.4142 v1 · 2014-09-15 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKXPYWR4UVMGTTTWCBHTCNSAAP}

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	2026-05-18T02:42:52.944395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aaefc5a3ca55869ce76104f31364003cbd8a6f24dba87fd0a3612ea6dbb43b0

Aliases

arxiv: 1409.4142 · arxiv_version: 1409.4142v1 · doi: 10.48550/arxiv.1409.4142 · pith_short_12: NKXPYWR4UVMG · pith_short_16: NKXPYWR4UVMGTTTW · pith_short_8: NKXPYWR4

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/NKXPYWR4UVMGTTTWCBHTCNSAAP \
  | 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: 6aaefc5a3ca55869ce76104f31364003cbd8a6f24dba87fd0a3612ea6dbb43b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d409fca5a7501dd0ca385cd644be6fb9ef0ef785740eac73cd55aabe7e7576b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-15T02:55:26Z",
    "title_canon_sha256": "1f3e5eaa99d095a2a62ac8b9cbc133d573a1ed7d95514c9637119f684792a58d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4142",
    "kind": "arxiv",
    "version": 1
  }
}