Pith Number

pith:OC573F2S

pith:2019:OC573F2SX2XDCRKR7QI6VE5SJH

not attested not anchored not stored refs pending

Strictly systolic angled complexes and hyperbolicity of one-relator groups

Elias Gabriel Minian, Martin Axel Blufstein

arxiv:1907.06738 v1 · 2019-07-15 · 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{OC573F2SX2XDCRKR7QI6VE5SJH}

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	2026-05-17T23:40:29.332555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70bbfd9752beae314551fc11ea93b249d1dbb62e5064757ed0a536e3a4e34961

Aliases

arxiv: 1907.06738 · arxiv_version: 1907.06738v1 · doi: 10.48550/arxiv.1907.06738 · pith_short_12: OC573F2SX2XD · pith_short_16: OC573F2SX2XDCRKR · pith_short_8: OC573F2S

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/OC573F2SX2XDCRKR7QI6VE5SJH \
  | 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: 70bbfd9752beae314551fc11ea93b249d1dbb62e5064757ed0a536e3a4e34961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798495525f7c2ce94ad2586bb26e50aa7ecff216496dfb0c96376f0b1bb1bf82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-15T20:36:13Z",
    "title_canon_sha256": "89d4fc9a66472d54ff43f35c74a61f32ae262d54ddb162998a90aa1b8208eef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06738",
    "kind": "arxiv",
    "version": 1
  }
}