Pith Number

pith:HSI6RYSV

pith:2019:HSI6RYSVJ6PR6PQO7K7TIGVGZM

not attested not anchored not stored refs pending

On finite systems of equations in acylindrically hyperbolic groups

Oleg Bogopolski

arxiv:1903.10906 v1 · 2019-03-24 · 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{HSI6RYSVJ6PR6PQO7K7TIGVGZM}

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	2026-05-17T23:50:17.285890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c91e8e2554f9f1f3e0efabf341aa6cb2732b2eb64679d64e18dfbee33bc0b45

Aliases

arxiv: 1903.10906 · arxiv_version: 1903.10906v1 · doi: 10.48550/arxiv.1903.10906 · pith_short_12: HSI6RYSVJ6PR · pith_short_16: HSI6RYSVJ6PR6PQO · pith_short_8: HSI6RYSV

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/HSI6RYSVJ6PR6PQO7K7TIGVGZM \
  | 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: 3c91e8e2554f9f1f3e0efabf341aa6cb2732b2eb64679d64e18dfbee33bc0b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ba0d806adf9a8fb00f5feaedbf7176aeb56bee1e8df7cc9dd194ed37c59829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-24T14:50:26Z",
    "title_canon_sha256": "43d3c923653528d433d6794bb8525f61a8afae56c34764605ea441c5825ddf6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10906",
    "kind": "arxiv",
    "version": 1
  }
}