Pith Number

pith:DKCH7AXS

pith:2016:DKCH7AXSNVFVNS3PDEO3THJIOL

not attested not anchored not stored refs pending

Metric Approximations of Wreath Products

Andrew Sale, Ben Hayes

arxiv:1608.02610 v2 · 2016-08-08 · math.GR · 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{DKCH7AXSNVFVNS3PDEO3THJIOL}

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	2026-05-18T00:35:05.250672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a847f82f26d4b56cb6f191db99d2872ccacb9d6a67bd520161d6a77ffa284fc

Aliases

arxiv: 1608.02610 · arxiv_version: 1608.02610v2 · doi: 10.48550/arxiv.1608.02610 · pith_short_12: DKCH7AXSNVFV · pith_short_16: DKCH7AXSNVFVNS3P · pith_short_8: DKCH7AXS

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/DKCH7AXSNVFVNS3PDEO3THJIOL \
  | 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: 1a847f82f26d4b56cb6f191db99d2872ccacb9d6a67bd520161d6a77ffa284fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792bb50557a1d7b6429e80e9e5d359adaa26a6032dc539fde46bf02a470dd7fb",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-08T20:17:33Z",
    "title_canon_sha256": "2411476b0d212099dbe0ad40f3f5d0b805417ee7847c0ba77daf204477d9c6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02610",
    "kind": "arxiv",
    "version": 2
  }
}