Pith Number

pith:I6ECAYYK

pith:2016:I6ECAYYKROFVZIXQZEJIHP6S3Q

not attested not anchored not stored refs pending

Introduction into Calculus over Banach algebra

Aleks Kleyn

arxiv:1601.03259 v3 · 2016-01-11 · 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{I6ECAYYKROFVZIXQZEJIHP6S3Q}

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	2026-05-18T00:35:35.898042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478820630a8b8b5ca2f0c91283bfd2dc17227c3a6a59fd9efd95d01c7f12e634

Aliases

arxiv: 1601.03259 · arxiv_version: 1601.03259v3 · doi: 10.48550/arxiv.1601.03259 · pith_short_12: I6ECAYYKROFV · pith_short_16: I6ECAYYKROFVZIXQ · pith_short_8: I6ECAYYK

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/I6ECAYYKROFVZIXQZEJIHP6S3Q \
  | 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: 478820630a8b8b5ca2f0c91283bfd2dc17227c3a6a59fd9efd95d01c7f12e634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9463b080f4917bc9744dbf0268b4d15d03d19bb3c91c356e0d53b4d74b91a2f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-01-11T05:43:09Z",
    "title_canon_sha256": "4f13c01189776b7ae26791e46ea82aadba4dc3f2dff72666ac25cb95ef0e91e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03259",
    "kind": "arxiv",
    "version": 3
  }
}