Pith Number

pith:Z77NR4NT

pith:2015:Z77NR4NTWHZS6EG67GBSM4ZKCX

not attested not anchored not stored refs pending

Right-angled Artin groups on finite subgraphs of disk graphs

Erika Kuno

arxiv:1512.02745 v1 · 2015-12-09 · 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{Z77NR4NTWHZS6EG67GBSM4ZKCX}

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	2026-05-18T00:59:34.656004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffed8f1b3b1f32f10def98326732a15ff9b5449ab996cb7b1da09828a600a29

Aliases

arxiv: 1512.02745 · arxiv_version: 1512.02745v1 · doi: 10.48550/arxiv.1512.02745 · pith_short_12: Z77NR4NTWHZS · pith_short_16: Z77NR4NTWHZS6EG6 · pith_short_8: Z77NR4NT

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/Z77NR4NTWHZS6EG67GBSM4ZKCX \
  | 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: cffed8f1b3b1f32f10def98326732a15ff9b5449ab996cb7b1da09828a600a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34cf6bd0a2abc63f5ef6f6448bfb1b6f39d51985a15a751151e14437d65832fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-09T04:09:41Z",
    "title_canon_sha256": "b54dddd5d84cc246ea0d57985a9fd0c16250cd55a626c88fbf5d95fcada6cdc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02745",
    "kind": "arxiv",
    "version": 1
  }
}