Pith Number

pith:VPOQ3GC3

pith:2016:VPOQ3GC353HG33B3O6OB4YFNNF

not attested not anchored not stored refs pending

On error sums formed by rational approximations with split denominators

Carsten Elsner, Thomas Baruchel

arxiv:1602.06445 v1 · 2016-02-20 · 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{VPOQ3GC353HG33B3O6OB4YFNNF}

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	2026-05-18T01:20:13.979576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdd0d985beece6dec3b779c1e60ad694edcd5fcc2d1ebfc2da55655b77c75a2

Aliases

arxiv: 1602.06445 · arxiv_version: 1602.06445v1 · doi: 10.48550/arxiv.1602.06445 · pith_short_12: VPOQ3GC353HG · pith_short_16: VPOQ3GC353HG33B3 · pith_short_8: VPOQ3GC3

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/VPOQ3GC353HG33B3O6OB4YFNNF \
  | 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: abdd0d985beece6dec3b779c1e60ad694edcd5fcc2d1ebfc2da55655b77c75a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd6dcb9bcc43496c669d421f0e194595f9491c4b772586a378270b472526f0e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-20T20:00:03Z",
    "title_canon_sha256": "ee0ab23e51aea189b87cccf54ed95e059a9f079b0cb8f36f683641cfb1dd934d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06445",
    "kind": "arxiv",
    "version": 1
  }
}