Pith Number

pith:SHQUPLUL

pith:2013:SHQUPLULZHOZKXEJ5ZY7MGJMCV

not attested not anchored not stored refs pending

A lower bound criterion for iterated commutators

Laurent Dalenc, Stefanie Petermichl

arxiv:1307.6423 v1 · 2013-07-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHQUPLULZHOZKXEJ5ZY7MGJMCV}

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	2026-05-18T03:17:36.553163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e147ae8bc9dd955c89ee71f6192c155a3c5f28914e7544741ff141b0cdb516

Aliases

arxiv: 1307.6423 · arxiv_version: 1307.6423v1 · doi: 10.48550/arxiv.1307.6423 · pith_short_12: SHQUPLULZHOZ · pith_short_16: SHQUPLULZHOZKXEJ · pith_short_8: SHQUPLUL

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/SHQUPLULZHOZKXEJ5ZY7MGJMCV \
  | 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: 91e147ae8bc9dd955c89ee71f6192c155a3c5f28914e7544741ff141b0cdb516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038103c7819d00002c2e1c8b3722f69453a90ab394092e70ae395bf3f0f183dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-24T14:02:52Z",
    "title_canon_sha256": "1341b4e8a69ec44d2c3a34f3ee920a36f40b2bac9d677b82ed860a9d834f7a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6423",
    "kind": "arxiv",
    "version": 1
  }
}