Pith Number

pith:BZMDAYUX

pith:2014:BZMDAYUXCAHTPQGFIS4AHFWKGZ

not attested not anchored not stored refs pending

Large Sets in Countable Amenable Group and its Applications

Dibyendu De, Pintu Debnath

arxiv:1409.1507 v4 · 2014-09-04 · 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{BZMDAYUXCAHTPQGFIS4AHFWKGZ}

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	2026-05-18T02:41:40.993282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e58306297100f37c0c544b80396ca3642e5d4a4495c63b4a647e26bea89b63c

Aliases

arxiv: 1409.1507 · arxiv_version: 1409.1507v4 · doi: 10.48550/arxiv.1409.1507 · pith_short_12: BZMDAYUXCAHT · pith_short_16: BZMDAYUXCAHTPQGF · pith_short_8: BZMDAYUX

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/BZMDAYUXCAHTPQGFIS4AHFWKGZ \
  | 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: 0e58306297100f37c0c544b80396ca3642e5d4a4495c63b4a647e26bea89b63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f696768ee42bb64619c4b784bc36ead85549be0e5dfe6bf7c6b9fe830b1e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-04T17:58:46Z",
    "title_canon_sha256": "7f6b712e1027eb790fbbdd3e26759edce9637b5b342a90c5519f1fc3e32a5ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1507",
    "kind": "arxiv",
    "version": 4
  }
}