Pith Number

pith:PI62IFLX

pith:2011:PI62IFLXAP6YNN2RTUISKYCLYQ

not attested not anchored not stored refs pending

A method for recursively generating sequential rational approximations to $\sqrt[n]{k}$

Joe Nance

arxiv:1111.2985 v1 · 2011-11-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI62IFLXAP6YNN2RTUISKYCLYQ}

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	2026-05-18T04:08:23.340323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3da4157703fd86b7519d1125604bc41c45db7e179d8ac1606e7c2d607bbe66

Aliases

arxiv: 1111.2985 · arxiv_version: 1111.2985v1 · doi: 10.48550/arxiv.1111.2985 · pith_short_12: PI62IFLXAP6Y · pith_short_16: PI62IFLXAP6YNN2R · pith_short_8: PI62IFLX

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/PI62IFLXAP6YNN2RTUISKYCLYQ \
  | 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: 7a3da4157703fd86b7519d1125604bc41c45db7e179d8ac1606e7c2d607bbe66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eea16029ea2fb556c55742388eaeb37fb8d536e6fb21399206e9f6f1caed0d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-13T03:23:33Z",
    "title_canon_sha256": "59d8e8643fa955d0becf88bc14ffc538c48145f581632f403cea7fdaea21d278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2985",
    "kind": "arxiv",
    "version": 1
  }
}