Pith Number

pith:VMN4R5SH

pith:2015:VMN4R5SHPNBIRTTHOPPUIFR3SC

not attested not anchored not stored refs pending

Computable copies of $\ell^p$

Timothy H. McNicholl

arxiv:1504.04664 v7 · 2015-04-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMN4R5SHPNBIRTTHOPPUIFR3SC}

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	2026-05-18T00:45:22.711126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1bc8f6477b4288ce6773df44163b90ad8cc887a64046f06b5750908dfad507

Aliases

arxiv: 1504.04664 · arxiv_version: 1504.04664v7 · doi: 10.48550/arxiv.1504.04664 · pith_short_12: VMN4R5SHPNBI · pith_short_16: VMN4R5SHPNBIRTTH · pith_short_8: VMN4R5SH

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/VMN4R5SHPNBIRTTHOPPUIFR3SC \
  | 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: ab1bc8f6477b4288ce6773df44163b90ad8cc887a64046f06b5750908dfad507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6255a880061a7f9ad8eb06199ef67213adf940981139c7a0bb9d3b4189555730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-18T00:13:40Z",
    "title_canon_sha256": "37d98799c83f4fa07af37da58ef985777785f7e66cd3cec0e682310f171551f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04664",
    "kind": "arxiv",
    "version": 7
  }
}