Pith Number

pith:GM7YRTGK

pith:2018:GM7YRTGKQARZUC2QQFLIEI7ONU

not attested not anchored not stored refs pending

Dilatation of outer automorphisms of Right-angled Artin Groups

Corey Bregman, Yulan Qing

arxiv:1810.06499 v3 · 2018-10-15 · 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{GM7YRTGKQARZUC2QQFLIEI7ONU}

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	2026-05-18T00:01:37.576998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333f88ccca80239a0b5081568223ee6d1eed79b37d7a7edadf7ee8f54a9b7d83

Aliases

arxiv: 1810.06499 · arxiv_version: 1810.06499v3 · doi: 10.48550/arxiv.1810.06499 · pith_short_12: GM7YRTGKQARZ · pith_short_16: GM7YRTGKQARZUC2Q · pith_short_8: GM7YRTGK

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/GM7YRTGKQARZUC2QQFLIEI7ONU \
  | 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: 333f88ccca80239a0b5081568223ee6d1eed79b37d7a7edadf7ee8f54a9b7d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766a9ae6cd235f057e9e5ab80960abc57ac96be3ab11e7e7b80ed2d52867c398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-15T16:25:07Z",
    "title_canon_sha256": "a63e233c60de540f260dd06befb19c94e51a6522986a12900e379c3d1914058c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06499",
    "kind": "arxiv",
    "version": 3
  }
}