Pith Number

pith:MR4J2K2Y

pith:2012:MR4J2K2YFGYN6CICESG4IDBHMT

not attested not anchored not stored refs pending

A new construction of the real numbers by alternating series

Soichi Ikeda

arxiv:1208.1434 v3 · 2012-08-07 · 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{MR4J2K2YFGYN6CICESG4IDBHMT}

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	2026-05-18T03:08:27.322809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64789d2b5829b0df0902248dc40c2764dfbf55f13963f9a409f066409b2721c2

Aliases

arxiv: 1208.1434 · arxiv_version: 1208.1434v3 · doi: 10.48550/arxiv.1208.1434 · pith_short_12: MR4J2K2YFGYN · pith_short_16: MR4J2K2YFGYN6CIC · pith_short_8: MR4J2K2Y

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/MR4J2K2YFGYN6CICESG4IDBHMT \
  | 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: 64789d2b5829b0df0902248dc40c2764dfbf55f13963f9a409f066409b2721c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84940202687322a8a5e0aa24a5a4d4d5e8ec03458a142b854bfec28a88ff6f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-07T14:45:55Z",
    "title_canon_sha256": "7b598fdc2f11254afab1bf70fb3635ab8c88be857f69c4ba563de4c977f80a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1434",
    "kind": "arxiv",
    "version": 3
  }
}