Pith Number

pith:OXOAX6RN

pith:2018:OXOAX6RN67GVBNGQREX6T5XHDZ

not attested not anchored not stored refs pending

Universal Mixers in All Dimensions

Andrej Zlato\v{s}, Tarek M. Elgindi

arxiv:1809.09614 v2 · 2018-09-25 · math.AP · 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{OXOAX6RN67GVBNGQREX6T5XHDZ}

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	2026-05-18T00:01:52.820098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75dc0bfa2df7cd50b4d0892fe9f6e71e771b7b706bd381ec039e1c4fb508dd02

Aliases

arxiv: 1809.09614 · arxiv_version: 1809.09614v2 · doi: 10.48550/arxiv.1809.09614 · pith_short_12: OXOAX6RN67GV · pith_short_16: OXOAX6RN67GVBNGQ · pith_short_8: OXOAX6RN

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/OXOAX6RN67GVBNGQREX6T5XHDZ \
  | 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: 75dc0bfa2df7cd50b4d0892fe9f6e71e771b7b706bd381ec039e1c4fb508dd02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d713761e08ac59aeffa552ccdba4ed4f60dbcca0760d49c9158b081ba0a88b9c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-25T17:56:20Z",
    "title_canon_sha256": "981eac37c0eda14d889233b019f2a78bd34e419e41a7f6c7ef25e6410c5d68c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09614",
    "kind": "arxiv",
    "version": 2
  }
}