Pith Number

pith:CBELLNFY

pith:2009:CBELLNFYRU5UBETGWHWW36BY3B

not attested not anchored not stored refs pending

On a Problem Posed by Steve Smale

Felipe Cucker, Peter Buergisser

arxiv:0909.2114 v6 · 2009-09-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBELLNFYRU5UBETGWHWW36BY3B}

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	2026-05-18T04:10:23.880501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1048b5b4b88d3b409266b1ed6df838d85844c2562d3606ba3b4267c9bf4b9e41

Aliases

arxiv: 0909.2114 · arxiv_version: 0909.2114v6 · doi: 10.48550/arxiv.0909.2114 · pith_short_12: CBELLNFYRU5U · pith_short_16: CBELLNFYRU5UBETG · pith_short_8: CBELLNFY

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/CBELLNFYRU5UBETGWHWW36BY3B \
  | 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: 1048b5b4b88d3b409266b1ed6df838d85844c2562d3606ba3b4267c9bf4b9e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064f6930461f52e373352b3540e14673014a61de4a298a7d454b5d0bbfa702c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-09-11T08:43:36Z",
    "title_canon_sha256": "5f5274f743034c0c8f4bf5f58058d88c8be491aafe4163fd085eae2fd7b13c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2114",
    "kind": "arxiv",
    "version": 6
  }
}