Pith Number

pith:2YPT5IU2

pith:2016:2YPT5IU2OZKP7QSXDRZYKEJIPW

not attested not anchored not stored refs pending

Determining the action dimension of an Artin group by using its complex of abelian subgroups

Jingyin Huang, Michael W. Davis

arxiv:1608.03572 v2 · 2016-08-11 · math.GT · 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{2YPT5IU2OZKP7QSXDRZYKEJIPW}

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	2026-05-18T00:42:02.673292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61f3ea29a7654ffc2571c738511287daf744fc38c41f82ae36c6408802d6add

Aliases

arxiv: 1608.03572 · arxiv_version: 1608.03572v2 · doi: 10.48550/arxiv.1608.03572 · pith_short_12: 2YPT5IU2OZKP · pith_short_16: 2YPT5IU2OZKP7QSX · pith_short_8: 2YPT5IU2

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/2YPT5IU2OZKP7QSXDRZYKEJIPW \
  | 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: d61f3ea29a7654ffc2571c738511287daf744fc38c41f82ae36c6408802d6add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ac1d4f47fe696fcbf99b88c027753eff3c15b5c93ac45d7f040ebd73e3d332",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-11T19:28:17Z",
    "title_canon_sha256": "74840fdc3eebb3f83d93dfa3968758f3cb80b5f7095c854a425ac5773e8e5d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03572",
    "kind": "arxiv",
    "version": 2
  }
}