Pith Number

pith:ZCKXVPRH

pith:2017:ZCKXVPRHEU6GTNESMU4NAHZHTF

not attested not anchored not stored refs pending

Actions of right-angled Artin groups in low dimensions

Thomas Koberda

arxiv:1707.05958 v1 · 2017-07-19 · math.GR · math.DS · 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{ZCKXVPRHEU6GTNESMU4NAHZHTF}

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	2026-05-18T00:39:58.832547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8957abe27253c69b4926538d01f279944a93576a8ffbfe20c8b7948f4116a48

Aliases

arxiv: 1707.05958 · arxiv_version: 1707.05958v1 · doi: 10.48550/arxiv.1707.05958 · pith_short_12: ZCKXVPRHEU6G · pith_short_16: ZCKXVPRHEU6GTNES · pith_short_8: ZCKXVPRH

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/ZCKXVPRHEU6GTNESMU4NAHZHTF \
  | 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: c8957abe27253c69b4926538d01f279944a93576a8ffbfe20c8b7948f4116a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb171910baeda86b1cfc5636c0dd4ccf3541df59300405edf37318fe61dd2db",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-19T07:13:31Z",
    "title_canon_sha256": "834304437ee32c7c7fdfba691e29cb73da1cb7ef66d27e04fa52c4f52880fcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05958",
    "kind": "arxiv",
    "version": 1
  }
}