Pith Number

pith:EJJ5KRDD

pith:2013:EJJ5KRDDN62NN3A2AJFTXTO65F

not attested not anchored not stored refs pending

Differential calculus with integers

Alexandru Buium

arxiv:1308.5194 v1 · 2013-08-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJJ5KRDDN62NN3A2AJFTXTO65F}

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	2026-05-18T03:15:07.857527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2253d544636fb4d6ec1a024b3bcddee96c7920d578d3bc08be3c4dfa83b69ae0

Aliases

arxiv: 1308.5194 · arxiv_version: 1308.5194v1 · doi: 10.48550/arxiv.1308.5194 · pith_short_12: EJJ5KRDDN62N · pith_short_16: EJJ5KRDDN62NN3A2 · pith_short_8: EJJ5KRDD

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/EJJ5KRDDN62NN3A2AJFTXTO65F \
  | 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: 2253d544636fb4d6ec1a024b3bcddee96c7920d578d3bc08be3c4dfa83b69ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b601bfb09b8cabe8190180712b0169e1a4e2cb50d54f382df608ba4bbd820a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-23T18:18:45Z",
    "title_canon_sha256": "5b469505c6a464368ddb0b52a18efeacbc3e3d2c0eab632e2fc27b6448e8d95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5194",
    "kind": "arxiv",
    "version": 1
  }
}