Pith Number

pith:WPPUQJOZ

pith:2017:WPPUQJOZZUY5Z7Q6JUUPSKNLNG

not attested not anchored not stored refs pending

Automorphisms of Partially Commutative Groups III: Inversions and Transvections

Andrew J. Duncan, Vladimir N. Remeslennikov

arxiv:1706.09517 v1 · 2017-06-29 · 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{WPPUQJOZZUY5Z7Q6JUUPSKNLNG}

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	2026-05-18T00:41:14.861030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3df4825d9cd31dcfe1e4d28f929ab699e04907536d49a788ed5f89e76073302

Aliases

arxiv: 1706.09517 · arxiv_version: 1706.09517v1 · doi: 10.48550/arxiv.1706.09517 · pith_short_12: WPPUQJOZZUY5 · pith_short_16: WPPUQJOZZUY5Z7Q6 · pith_short_8: WPPUQJOZ

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/WPPUQJOZZUY5Z7Q6JUUPSKNLNG \
  | 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: b3df4825d9cd31dcfe1e4d28f929ab699e04907536d49a788ed5f89e76073302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab0ed53449a8cb99abe3514ab3e95857699966c3f6ce4c2609f1a2b166f603e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-29T00:01:16Z",
    "title_canon_sha256": "f7dc416ba949777b6ee5a42e77e853ee529800d949cf224211d9b85088bbc097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09517",
    "kind": "arxiv",
    "version": 1
  }
}