Pith Number

pith:Z3X3GA7W

pith:2014:Z3X3GA7WLZXA5HXW7UXJ3LCT3B

not attested not anchored not stored refs pending

Rational approximation and arithmetic progressions

Faustin Adiceam

arxiv:1408.6151 v1 · 2014-08-26 · 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{Z3X3GA7WLZXA5HXW7UXJ3LCT3B}

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	2026-05-18T02:44:09.285942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceefb303f65e6e0e9ef6fd2e9dac53d856c65af44ac0d869c057d58dcdead7eb

Aliases

arxiv: 1408.6151 · arxiv_version: 1408.6151v1 · doi: 10.48550/arxiv.1408.6151 · pith_short_12: Z3X3GA7WLZXA · pith_short_16: Z3X3GA7WLZXA5HXW · pith_short_8: Z3X3GA7W

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/Z3X3GA7WLZXA5HXW7UXJ3LCT3B \
  | 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: ceefb303f65e6e0e9ef6fd2e9dac53d856c65af44ac0d869c057d58dcdead7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666dba2c20dc5023c77a14ab2992534472fd1323159a34791b7574d2dd8da313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-26T15:21:38Z",
    "title_canon_sha256": "0acb3985ef2d6c65d43e18fa6ab740298586c16a1c7d1a6e43000d93feb4b7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6151",
    "kind": "arxiv",
    "version": 1
  }
}