Pith Number

pith:SSFGIRZZ

pith:2019:SSFGIRZZTPXVRM2YCWKYORWC44

not attested not anchored not stored refs pending

Symbolic extensions of amenable group actions and the comparison property

Guohua Zhang, Tomasz Downarowicz

arxiv:1901.01457 v2 · 2019-01-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSFGIRZZTPXVRM2YCWKYORWC44}

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.

Cited by

1 paper in Pith

Elementary amenability and almost finiteness

Receipt and verification

First computed	2026-05-17T23:51:39.030267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948a6447399bef58b35815958746c2e70e51c8511f1b3e800283e13e54f94287

Aliases

arxiv: 1901.01457 · arxiv_version: 1901.01457v2 · doi: 10.48550/arxiv.1901.01457 · pith_short_12: SSFGIRZZTPXV · pith_short_16: SSFGIRZZTPXVRM2Y · pith_short_8: SSFGIRZZ

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/SSFGIRZZTPXVRM2YCWKYORWC44 \
  | 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: 948a6447399bef58b35815958746c2e70e51c8511f1b3e800283e13e54f94287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a9dbad20d8914fbcb60f7a3cc59195ae961ec625a22e204654d102e6f94a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-05T18:42:27Z",
    "title_canon_sha256": "9cc0bdfd8d9037e3c4e882a519f7452ac8cb1b72247fec8bfc906838bed0a8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01457",
    "kind": "arxiv",
    "version": 2
  }
}