Pith Number

pith:ZWGBFLHD

pith:2013:ZWGBFLHDB6RXTFVDVKBPRAOZ2K

not attested not anchored not stored refs pending

Order isomorphisms on function spaces

Denny H. Leung, Lei Li

arxiv:1310.7351 v1 · 2013-10-28 · 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{ZWGBFLHDB6RXTFVDVKBPRAOZ2K}

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	2026-05-18T03:08:45.609842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8c12ace30fa37996a3aa82f881d9d2aa4162387db528ad103a66cce5044eae

Aliases

arxiv: 1310.7351 · arxiv_version: 1310.7351v1 · doi: 10.48550/arxiv.1310.7351 · pith_short_12: ZWGBFLHDB6RX · pith_short_16: ZWGBFLHDB6RXTFVD · pith_short_8: ZWGBFLHD

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/ZWGBFLHDB6RXTFVDVKBPRAOZ2K \
  | 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: cd8c12ace30fa37996a3aa82f881d9d2aa4162387db528ad103a66cce5044eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79a9378bc7fbe254223db3f6415d3c67ea28c30587a3aa7c7e34a1aed16696e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-28T09:26:30Z",
    "title_canon_sha256": "352379c733dee1c2ca0a060198062ed7885c798afffb15d3ca13615283797319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7351",
    "kind": "arxiv",
    "version": 1
  }
}