Pith Number

pith:ZNXJ4F7S

pith:2012:ZNXJ4F7SXFRG6QHSH5PLW36MLW

not attested not anchored not stored refs pending

Large structures made of nowhere $L^p$ functions

Leonardo Pellegrini, Pedro L. Kaufmann, Szymon Glab

arxiv:1207.3818 v2 · 2012-07-16 · 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{ZNXJ4F7SXFRG6QHSH5PLW36MLW}

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	2026-05-18T03:41:58.464636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6e9e17f2b9626f40f23f5ebb6fcc5db93562b3fbdff3075abe8a7504e60ac3

Aliases

arxiv: 1207.3818 · arxiv_version: 1207.3818v2 · doi: 10.48550/arxiv.1207.3818 · pith_short_12: ZNXJ4F7SXFRG · pith_short_16: ZNXJ4F7SXFRG6QHS · pith_short_8: ZNXJ4F7S

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/ZNXJ4F7SXFRG6QHSH5PLW36MLW \
  | 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: cb6e9e17f2b9626f40f23f5ebb6fcc5db93562b3fbdff3075abe8a7504e60ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e9212fe3ec13b34e7ed39d0f253408f4b61f75791a05642fba671a34084199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-16T20:33:16Z",
    "title_canon_sha256": "fb0180f31ef8c09c3b2e150b23e688d0aa1007e485a7c7ac7b3efe8b336b064b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3818",
    "kind": "arxiv",
    "version": 2
  }
}