Pith Number

pith:OIP7MSQK

pith:2017:OIP7MSQKIGUS2N5CJ23C6LU6D6

not attested not anchored not stored refs pending

A congruence sum and rational approximations

Sandro Bettin

arxiv:1701.06614 v1 · 2017-01-23 · 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{OIP7MSQKIGUS2N5CJ23C6LU6D6}

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	2026-05-18T00:52:12.558268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721ff64a0a41a92d37a24eb62f2e9e1fb8e8dc01aa51c120400db834d9bf1fd3

Aliases

arxiv: 1701.06614 · arxiv_version: 1701.06614v1 · doi: 10.48550/arxiv.1701.06614 · pith_short_12: OIP7MSQKIGUS · pith_short_16: OIP7MSQKIGUS2N5C · pith_short_8: OIP7MSQK

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/OIP7MSQKIGUS2N5CJ23C6LU6D6 \
  | 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: 721ff64a0a41a92d37a24eb62f2e9e1fb8e8dc01aa51c120400db834d9bf1fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87860ada9d133564b5a93993b12bb817560b14a64401af060743090ffb9f1d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-23T20:14:03Z",
    "title_canon_sha256": "ab18b3f3202795a15de37723fb177e9d38b39e5ca3ef360a14da31e409d2bcd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06614",
    "kind": "arxiv",
    "version": 1
  }
}