Pith Number

pith:EIFQNWC7

pith:2016:EIFQNWC7OV7MFS7HXC2YKGKJ2F

not attested not anchored not stored refs pending

Boundary amenability of groups via ultrapowers

Isaac Goldbring, Stephen Avsec

arxiv:1610.09276 v1 · 2016-10-28 · math.GR · math.GN · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIFQNWC7OV7MFS7HXC2YKGKJ2F}

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	2026-05-18T01:00:58.574672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

220b06d85f757ec2cbe7b8b5851949d15d20dcaa878da28eb54197d2839562d7

Aliases

arxiv: 1610.09276 · arxiv_version: 1610.09276v1 · doi: 10.48550/arxiv.1610.09276 · pith_short_12: EIFQNWC7OV7M · pith_short_16: EIFQNWC7OV7MFS7H · pith_short_8: EIFQNWC7

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/EIFQNWC7OV7MFS7HXC2YKGKJ2F \
  | 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: 220b06d85f757ec2cbe7b8b5851949d15d20dcaa878da28eb54197d2839562d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d57c2034e286c56b40cffb292bcdedf7560ec45d132e9e503458ab6fd4431d",
    "cross_cats_sorted": [
      "math.GN",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-28T15:34:29Z",
    "title_canon_sha256": "58c7e376e474488be6a99d072d41c30c6d906ffaa186960611d912f70892b045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09276",
    "kind": "arxiv",
    "version": 1
  }
}