Pith Number

pith:LHUMV6YW

pith:2012:LHUMV6YWMBIGLZPCLWD7FGGTWI

not attested not anchored not stored refs pending

On the Lazarev-Lieb Extension of the Hobby-Rice Theorem

Vermont Rutherfoord

arxiv:1212.5759 v1 · 2012-12-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHUMV6YWMBIGLZPCLWD7FGGTWI}

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	2026-05-18T03:37:51.466371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e8cafb16605065e5e25d87f298d3b21f703a572cb73fb1d76ffffcdff4c60d

Aliases

arxiv: 1212.5759 · arxiv_version: 1212.5759v1 · doi: 10.48550/arxiv.1212.5759 · pith_short_12: LHUMV6YWMBIG · pith_short_16: LHUMV6YWMBIGLZPC · pith_short_8: LHUMV6YW

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/LHUMV6YWMBIGLZPCLWD7FGGTWI \
  | 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: 59e8cafb16605065e5e25d87f298d3b21f703a572cb73fb1d76ffffcdff4c60d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf06237191ac57334d3fc8f81d44febd36f9d23ccc733c7d522c18b9ce4982e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-23T03:44:09Z",
    "title_canon_sha256": "b02ae67af5d6234c859550d94db55917462b6ea5ccd932a519976650a72c5682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5759",
    "kind": "arxiv",
    "version": 1
  }
}