Pith Number

pith:DJVFCFA7

pith:2018:DJVFCFA7ODEXGQZVCKSET7CCI5

not attested not anchored not stored refs pending

Invariant spanning double rays in amenable groups

Agelos Georgakopoulos, Florian Lehner

arxiv:1810.08116 v1 · 2018-10-18 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJVFCFA7ODEXGQZVCKSET7CCI5}

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	2026-05-18T00:02:50.530065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6a51141f70c973433512a449fc4247578ef83dd0f6282211a93bb893c86693

Aliases

arxiv: 1810.08116 · arxiv_version: 1810.08116v1 · doi: 10.48550/arxiv.1810.08116 · pith_short_12: DJVFCFA7ODEX · pith_short_16: DJVFCFA7ODEXGQZV · pith_short_8: DJVFCFA7

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/DJVFCFA7ODEXGQZVCKSET7CCI5 \
  | 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: 1a6a51141f70c973433512a449fc4247578ef83dd0f6282211a93bb893c86693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7f7d1aa3643274a1ec33c6075cf09cf0597b9778ea3117589e02c8942678e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-18T15:39:25Z",
    "title_canon_sha256": "4afab578f882465aac5c9d3b038f8483f55f68a136dd6f7217f55edef8deaea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08116",
    "kind": "arxiv",
    "version": 1
  }
}