Pith Number

pith:MBIUXSMW

pith:2015:MBIUXSMWGABZRAG5P7W3NRRJ7Y

not attested not anchored not stored refs pending

Classes of operators determined by ordinal indices

Ben Wallis, Daniel Freeman, Kevin Beanland, Ryan Causey

arxiv:1507.06285 v2 · 2015-07-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBIUXSMWGABZRAG5P7W3NRRJ7Y}

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	2026-05-18T01:36:25.291715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60514bc99630039880dd7fedb6c629fe00606e08ef4ae569c54fc8a606fba10b

Aliases

arxiv: 1507.06285 · arxiv_version: 1507.06285v2 · doi: 10.48550/arxiv.1507.06285 · pith_short_12: MBIUXSMWGABZ · pith_short_16: MBIUXSMWGABZRAG5 · pith_short_8: MBIUXSMW

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/MBIUXSMWGABZRAG5P7W3NRRJ7Y \
  | 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: 60514bc99630039880dd7fedb6c629fe00606e08ef4ae569c54fc8a606fba10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9f05a5c6b149fa7cf4506df86d966b37f2d23a99bb4db1d776d1b4820b65ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-22T19:08:49Z",
    "title_canon_sha256": "c3f08ff41bd9ba8505081678482da85e9417792a18d65fd60a25f647eff59041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06285",
    "kind": "arxiv",
    "version": 2
  }
}