Pith Number

pith:U75NFQSV

pith:2015:U75NFQSVD7OOGQ7IV7RFOUGBTF

not attested not anchored not stored refs pending

Derivative of Map of Banach algebra

Aleks Kleyn

arxiv:1505.03625 v1 · 2015-05-14 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U75NFQSVD7OOGQ7IV7RFOUGBTF}

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	2026-05-18T02:09:53.527131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fad2c2551fdce343e8afe25750c199500ea582462771ffaadd5bd0025748ee

Aliases

arxiv: 1505.03625 · arxiv_version: 1505.03625v1 · doi: 10.48550/arxiv.1505.03625 · pith_short_12: U75NFQSVD7OO · pith_short_16: U75NFQSVD7OOGQ7I · pith_short_8: U75NFQSV

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/U75NFQSVD7OOGQ7IV7RFOUGBTF \
  | 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: a7fad2c2551fdce343e8afe25750c199500ea582462771ffaadd5bd0025748ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33db99ee08ba945a6a6deb5c8bd9bc26d3fd7ff72d37b16b3ea0619593d6ae28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-05-14T05:42:10Z",
    "title_canon_sha256": "b95cd68f451142098d4bc21196a2ccdee794269ef9ac8fb52ac7f61ec3404d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03625",
    "kind": "arxiv",
    "version": 1
  }
}