Pith Number

pith:ZSX5VTFY

pith:2014:ZSX5VTFY6V4ZV6JP56J2DQQEIX

not attested not anchored not stored refs pending

The geometry of two-valued subsets of $L_{p}$-spaces

Anthony Weston

arxiv:1412.8481 v4 · 2014-12-29 · 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{ZSX5VTFY6V4ZV6JP56J2DQQEIX}

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	2026-05-18T01:11:08.672001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccafdaccb8f5799af92fef93a1c20445cfb36c9ae5e4c56dec37f3c9035fe5e8

Aliases

arxiv: 1412.8481 · arxiv_version: 1412.8481v4 · doi: 10.48550/arxiv.1412.8481 · pith_short_12: ZSX5VTFY6V4Z · pith_short_16: ZSX5VTFY6V4ZV6JP · pith_short_8: ZSX5VTFY

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/ZSX5VTFY6V4ZV6JP56J2DQQEIX \
  | 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: ccafdaccb8f5799af92fef93a1c20445cfb36c9ae5e4c56dec37f3c9035fe5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715b571c6945ad9b053478eac090c053bf0193702f718c08910d51df3be680fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-29T21:01:46Z",
    "title_canon_sha256": "71192917c52f1ad06fbc33ec37ae15af25d0f8aab8e43d6fd927551d77a3c7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8481",
    "kind": "arxiv",
    "version": 4
  }
}